FRACTALS (fractals)

2021 - 2025

Current editor(s): Tara Taylor

From World Scientific Publishing Co. Pte. Ltd.
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Volume 33, issue 08, 2025

ANALYSIS OF THE DYNAMICS OF HIV AND THE IMMUNE SYSTEM UNDER THE EFFECT OF DRUGS THROUGH A FRACTIONAL FRAMEWORK pp. 1-17

Rashid Jan, Normy Norfiza Abdul Razak, Mufda Alrawashdeh, Asma Alharbi, Viet-Thanh Pham and Mohamed Mousa

ANALYSIS AND COLLOCATION APPROXIMATIONS USING SHIFTED LEGENDRE GALERKIN ALGORITHM FOR SYSTEMS OF FRACTIONAL INTEGRODIFFERENTIAL DELAY PROBLEMS REGARDING HILFER FRACTIONAL TYPE pp. 1-26

Hind Sweis, Omar Abu Arqub, Nabil Shawagfeh and Marwan Abukhaled

A NOTE ON THE INHOMOGENEOUS HARTREE EQUATIONS WITH POTENTIAL pp. 1-16

Salah Mahmoud Boulaaras and Tarek Saanouni

DYNAMICS OF THE ATMOSPHERIC FRACTIONAL CARBON-DIOXIDE GAS MODEL WITH DEEP NEURAL NETWORK pp. 1-16

Tariq Mahmood, Muhammad Arfan, Yahya Almalki, Ibrahim Mekawy and Mohamed Abdalla

FRACTAL INTEGRAL INEQUALITIES FOR GENERALIZED HARMONICALLY CONVEX FUNCTIONS USING LOCAL FRACTIONAL INTEGRALS AND RAINA’S MAPPING WITH RELATED APPLICATIONS pp. 1-16

Lei Chen, Taha Radwan, Ahsan Fareed Shah, Miguel Vivas-Cortez and Muhammad Shoaib Saleem

SIGNIFICANT FINDINGS CONCERNING A SPECIFIC CLASS OF STOCHASTIC DIFFERENTIAL EQUATIONS WITH FRACTIONAL-ORDER pp. 1-16

Muhammad Imran Liaqat, Hossein Jafari and Saleh Alshammari

EXPLORING FRACTIONAL HERMITE–HADAMARD INCLUSIONS IN UP–DOWN FUZZY MECHANISM ASSOCIATED WITH MULTIPLE HARMONIC CONVEXITIES pp. 1-16

Jie Li, Muhammad Bilal Riaz, El-Sayed M. Sherif, Ahsan Fareed Shah and Adil Jhangeer

FRACTIONAL INTEGRAL INEQUALITIES FOR SUPERQUADRATIC FUNCTIONS VIA ATANGANA–BALEANU’S OPERATOR WITH APPLICATIONS pp. 1-24

Saad Ihsan Butt, Dawood Khan, Shilpi Jain, Georgia Irina Oros, Praveen Agarwal and Shaher Momani

NEW APPLICATIONS OF THE FRACTIONAL DERIVATIVE TO EXTRACT ABUNDANT SOLITON SOLUTIONS OF THE TIME FRACTIONAL ZAKHAROV–KUZNETSOV–BENJAMIN–BONA–MAHONY EQUATION IN MATHEMATICAL PHYSICS pp. 1-24

Amina Bibi, Alina Alb Lupas, Muhammad Abbas, Muhammad Kashif Iqbal, Y. S. Hamed and Miguel Vivas-Cortez

RESULTS ON HILFER FRACTIONAL STOCHASTIC SWITCHED DYNAMICAL SYSTEMS WITH IMPULSES: EXISTENCE AND OPTIMAL CONTROLS pp. 1-15

Rajesh Dhayal, Salah Boulaaras and Sulima Zubair

QUALITATIVE AND QUANTITATIVE ASPECTS OFÂ DENGUE DYNAMICS USING NONLOCAL AND NON-SINGULAR KERNELS pp. 1-15

Rashid Jan, Zahir Shah, Narcisa Vrinceanu, Mihaela Racheriu, Normy Norfiza Abdul Razak and Elisabeta Antonescu

SCATTERING THRESHOLD FOR RADIAL BI-HARMONIC SCHRÖDINGER EQUATIONS pp. 1-15

Salah Mahmoud Boulaaras and Tarek Saanouni

A MODIFIED OPERATIONAL MATRIX METHOD FOR INVESTIGATION OF THE NONLINEAR DYNAMICS OF FRACTIONAL SYSTEMS pp. 1-15

Sondos M. Syam, Maysam Zain, Rawan Alshateri, Al-DULAIMI Abdulsalam and Muhammad I. Syam

ON INVESTIGATING THE CO2 MODEL USING CROSSOVER BEHAVIOR AND MODIFIED MITTAG–LEFFLER FRACTIONAL-ORDER DERIVATIVE pp. 1-14

Saira Tabassum, Mohamed Hmissi, Mati Ur Rahman, Abdelbaki Choucha and Meraj Ali Khan

EXPLORING NOVEL ANALYTICAL METHODS FOR SOLVING THE HEISENBERG FERROMAGNETIC-TYPE FRACTIONAL AKBOTA EQUATION: COMPARATIVE GRAPHICAL ANALYSIS pp. 1-14

Dean Chou, Ifrah Iqbal, A. F. Aljohani, Saad Althobaiti and Hamood Ur Rehman

EXISTENCE AND UNIQUENESS OF SOLUTIONS TO A WEIGHTED LAPLACE EQUATION WITH SPECTRAL PERTURBATION NEAR A PLANE SECTOR VERTEX pp. 1-14

Hamza Medekhel, Rashid Jan, Salah Boulaaras, Rafik Guefaifia and Ahmed Himadan

A REFINED GALERKIN APPROACH FOR SOLVING HIGHER-ORDER DIFFERENTIAL EQUATIONS VIA BERNOULLI POLYNOMIALS pp. 1-14

Mohammed Said Touati Brahim, Youssri Hassan Youssri, Alhanouf Alburaikan, Hamiden Khalifa, Taha Radwn and Ramy Hafez

Editorial: Special Issue on Application of Fractional Calculus: Mathematical Modeling and Control — Part II pp. 1-7

Salah Boulaaras, Viet-Thanh Pham and Rashid Jan

PROBABILISTIC FULLY DEGENERATE BELL POLYNOMIALS ASSOCIATED WITH RANDOM VARIABLES pp. 1-7

Lingling Luo, Yuankui Ma, Taekyun Kim, Dae San Kim and Salah Boulaaras

ARTIFICIAL INTELLIGENCE AND NEURAL NETWORKING FOR AN ANALYSIS OF FRACTAL–FRACTIONAL ZIKA VIRUS MODEL pp. 1-18

Hasib Khan, Wafa F. Alfwzan, Jehad Alzabut, D. K. Almutairi, Mohammad Athar Azim and Rajermani Thinakaran

THE FORMATION OF EXACT TRAVELING FERROMAGNETIC WAVES AND MATHEMATICALLY FORECASTING OF NONLINEAR DYNAMICAL PROPAGATION pp. 1-18

Ovidiu C. Novac, Waqas Ali Faridi, Muhammad Abu Bakar, Mujahid Iqbal, Muhammad Amin Sadiq Murad, Nejla Mahjoub Said and Mohammed Sallah

CERTAIN SOLUTIONS OF SINGULAR LINEAR SYSTEMS OF PARTIAL DIFFERENTIAL EQUATIONS pp. 1-13

Aziza-Souã‚d Nouar, Med-Salem Rezaoui, Rafik Guefaifia, Mohamed Abdalla and Hala Abd-Elmageed

APPROXIMATE ANALYTICAL SOLUTION FOR THE VARIABLE-ORDER FRACTIONAL INFECTIOUS DISEASES MODEL pp. 1-13

Khadija Shahzadi, Syed Ali Mohsin Bukhari, Shno Othman Ahmed, Fuad A. Awwad, Emad A. A. Ismail, Umair Ali and Hijaz Ahmad

FRACTIONAL OPTIMAL CONTROL FOR THE ANALYTICAL TREATMENT OF MALARIA MODEL pp. 1-13

Muhammad Nadeem, Mustafa Habib, Aman Waris, Loredana Florentina Iambor, P. A. Azeem Hafiz and Sharifah E. Alhazmi

INSIGHTS INTO FRACTIONAL ION SOUND AND LANGMUIR WAVES UNVEILED BY ADVANCED ANALYTICAL TECHNIQUES pp. 1-23

Yong Wu, El-Sayed M. Sherif, Miguel Vivas-Cortez, Sajjad Ahmad, Muhammad Shoaib Saleem and Muhammad Umair Shahzad

THE SELF-PROTECTION BEHAVIOR CHANGES EFFECT IN SEIR-DM OF COVID-19 PANDEMIC MODEL WITH NUMERICAL SIMULATION AND CONTROLLING STRATEGIES PRESENTATION pp. 1-20

Razia Begum, Sajjad Ali, Thabet Abdeljawad and Kamal Shah

INVESTIGATION OF THE PERIODICITY AND STABILITY OF SOLUTIONS FOR CERTAIN DELAY FUNCTIONAL NEUTRAL DIFFERENTIAL SYSTEMS pp. 1-20

Anis Bouhnik, Ahcene Djoudi, Abdelouaheb Ardjouni, Rashid Jan, Ibrahim Mekawy and Taha Radwan

EXACT SOLUTIONS OF THE (1+1)-DIMENSIONAL NONLINEAR SCHRÖDINGER EQUATION VIA A NOVEL ANALYTICAL APPROACH pp. 1-20

Khaled Mahdi, Muhammad Bilal, Seham Sh. Tantawy, Salah Boulaaras, Alhanouf Alburaikan and Hamiden Abd El-Wahed Khalifa

COMPUTATIONAL ANALYSIS BY ARTIFICIAL INTELLIGENCE OF THE FRACTIONAL-ORDER PLANT VIRUS SPREAD MODEL pp. 1-21

Aziz Khan, Thabet Abdeljawad and Rajermani Thinakaran

STABILITY AND BIFURCATION ANALYSIS OF AN EPIDEMIC MODEL FOR EBOLA VIRUS DYNAMICS WITH CONTROL STRATEGIES pp. 1-21

Imtiaz Ahmad, Farhad Hussain, Nabil Mlaiki, Nigar Ali, Zahid Ullah, Afifah Al Eid and Nahid Fatima

ANALYTICAL APPROACHES TO STOCHASTIC-FRACTIONAL DRINFEL’D–SOKOLOV–WILSON EQUATIONS: IMPROVED MODIFIED SARDAR SUB-EQUATION METHODS INTEGRATED WITH BROWNIAN MOTION ANALYSIS pp. 1-22

Jie Li, Lei Chen, Sidra Noreen, Xuewu Zuo, Yong Lin and Muhammad Shoaib Saleem

ON THE HOPF BIFURCATION AND EQUILIBRIUM POINTS OF PARTIAL BENEFIT SYMBIOSIS OF FINANCIAL MARKET USING DELAY DIFFERENTIAL EQUATIONS pp. 1-9

Dongsheng Li, Dipesh, SIBEL PAÅžALI Atmaca and Pankaj Kumar

SOME RESULTS ON PROPORTIONAL PANTOGRAPH FRACTIONAL STOCHASTIC DIFFERENTIAL EQUATIONS pp. 1-9

Sahar Mohammad A. Abusalim, Raouf Fakhfakh and Fatimah Alshahrani

SPECTRAL OPTIMAL CONTROL SOLUTION FOR NONLINEAR WEAKLY SINGULAR SYSTEM OF FRACTIONAL INTEGRO-DIFFERENTIAL EQUATIONS pp. 1-11

Hussien Shafei Hussien and Mohamed Abdalla

PROBABILISTIC DEGENERATE BERNOULLI AND EULER POLYNOMIALS OF COMPLEX VARIABLE pp. 1-11

Wencong Liu, Taekyun Kim, Dae San Kim and Yuankui Ma

OBSERVER-BASED H∞ CONTROL FOR TIME-DELAY-CONFORMABLE FRACTIONAL-ORDER TAKAGI–SUGENO FUZZY SYSTEMS pp. 1-12

Mohamed Rhaima, Hamdi Gassara and Lassaad McHiri

A NOTE ON THE INCOMPATIBILITY OF AUTONOMOUS FRACTIONAL DIFFERENTIAL SYSTEMS AND FRACTIONAL DERIVATIVES WITH NON-SINGULAR KERNELS pp. 1-12

Redouane Douaifia, Mathkar Alharthi, Samir Bendoukha, Salem Abdelmalek, Emad Ali and Nabil Barhoumi

ANALYSIS OF THE NONLINEAR FRACTIONAL BENNEY EQUATION WITH NON-SINGULAR DERIVATIVE pp. 1-12

Israr Ahmad, Zeeshan Ali, Khursheed Jamal Ansari, Maryam Ali Alghafli and Nabil Mlaiki

FRACTIONAL VERSIONS OF OSTROWSKI AND RELATED INEQUALITIES WITH APPLICATIONS pp. 1-10

Weidong Zhao, Ghulam Farid, Jongsuk Ro, Atiq Ur Rehman and Ibrahim Mekawy

SOLVING TIME-FRACTIONAL FISHER MODELS BY NON-POLYNOMIAL SPLINES IN TERMS OF LOGARITHMIC DERIVATIVES pp. 1-10

Hari Mohan Srivastava, Majeed A. Yousif, Pshtiwan Othman Mohammed, Thabet Abdeljawad, Dumitru Baleanu and Nejmeddine Chorfi

LIMIT CYCLES OF A CLASS OF PERTURBED DIFFERENTIAL SYSTEMS BIFURCATING FROM AN UNPERTURBED HAMILTONIAN CENTER pp. 1-10

Amor Menaceur, Yassine Bouattia, Salem Alkhalaf and Asma Alharbi

INEQUALITIES FOR FRACTIONAL RIEMANN–LIOUVILLE INTEGRALS VIA MONOTONE FUNCTIONS pp. 1-10

Ghulam Farid, Ferdous M. O. Tawfiq, Daniel Breaz and Luminita-Ioana Cotirla

A COMPREHENSIVE STUDY ON SOLVING MULTITYPE DIFFERENTIAL EQUATIONS USING ROMANOVSKI–JACOBI MATRIX METHODS pp. 1-10

Ramy Hafez, Mohamed Haiour, Seham Tantawy, Alhanouf Alburaikan and Hamiden Khalifa

PROBABILISTIC CENTRAL BELL POLYNOMIALS pp. 1-10

Rongrong Xu, Yuankui Ma, Taekyun Kim, Dae San Kim, Salah Boulaaras and Wenpeng Zhang

Volume 33, issue 07, 2025

EXPLORING CONFORMABLE FRACTIONAL INTEGRAL INEQUALITIES: A MULTI-PARAMETER APPROACH pp. 1-20

Abdelghani Lakhdari, Nabil Mlaiki, Wedad Saleh, Thabet Abdeljawad and Badreddine Meftah

INTUITIONISTIC FUZZY MANDELBROT SET pp. 1-22

Anurag Kumar and L. Bhaskar

THE APPLICATION OF FRACTAL THEORY IN MARKETING: WHAT CAN WE DO? pp. 1-12

Norazryana Binti Mat Dawi, Namita Gupta and Hamidreza Namazi

MODELING A NATURAL PERMEABILITY FIELD WITH MULTIFRACTALS: A SIMULATION APPROACH pp. 1-11

Rayaan Biswas, Ankur Roy and Subhasish Tripathy

MULTIFRACTAL ANALYSIS OF EXCEPTIONAL SETS ASSOCIATED WITH THE LAW OF THE ITERATED LOGARITHM OF PIERCE EXPANSIONS pp. 1-11

Cai Long, Liuhui Lu and Yongshun Liang

ANALYSIS OF BRAIN–MUSCLE CORRELATION IN DIFFERENT HAND MOVEMENTS pp. 1-9

Robert Frischer, Ondrej Krejcar, Jamaluddin Abdullah, Camillo Porcaro, Dipak Kumar Ghosh and Hamidreza Namazi

THE FRACTAL DIMENSION GRAPHS OF CERTAIN FRACTAL FUNCTIONS pp. 1-10

Y. S. Liang, S. T. Ding and P. Z. Liu

EXACT SOLUTIONS OF THE LOCAL FRACTIONAL KdV EQUATION WITH DUAL POWER LAW NONLINEARITY ON THE CANTOR SETS pp. 1-8

Chuan Du, Jin-Fei Guo, Yi-Chen Bai, Chang Liu and Kang-Jia Wang

ARTIFICIAL INTELLIGENCE’S SIX MODELS CROSS-VALIDATION ON ALZHEIMER PATTERNS RECOGNITION USING ARTIFICIAL INTELLIGENCE pp. 1-8

Miguel Patiã‘o Ortiz, Ricardo Carreã‘o Aguilera, Daniel Pacheco Bautista and Julian Patiã‘o Ortiz

CONSENSUS DYNAMICS WITH LEADER SELECTION IN HEXAGONAL NETWORKS pp. 1-19

Zhiqiang Wu, Yumei Xue, Huixia He, Cheng Zeng and Wenjie Wang

A FRACTAL MODEL FOR RELATIVE PERMEABILITY IN SHALE WITH TREE-LIKE BRANCHING FRACTURE NETWORK pp. 1-13

Boqi Xiao, Yanbin Wang, Lei Chen, Gongbo Long, Wenjie Chen, Ruotong Lv, Yifan Gong, Yu Yang and Yongjun Xiao

GENERALIZATION OF s-GODUNOVA–LEVIN FUNCTIONS THROUGH FRACTAL SETS AND SOME INEQUALITIES pp. 1-18

Rainier Vicente Sã Nchez Camacho, Ribelly Estrella Salazar, Jos㉠Eduardo Sanabria, BONILLA-NÚÑEZ Marileidy and Armando Jos㉠Garcã A-Ortiz

FRACTAL THEORY: A COMPREHENSIVE REVIEW OF APPLICATIONS ACROSS ENGINEERING DISCIPLINES pp. 1-18

Robert Frischer, Mayur Pratap Singh, Camillo Porcaro and Hamidreza Namazi

NEW FRACTIONAL-TYPE INEQUALITIES FOR GENERALIZED n-POLYNOMIAL CONVEXITY IN INTERVAL-VALUED FUNCTIONS pp. 1-18

Humaira Kalsoom and Bandar Almohsen

BIFURCATIONS AND TRAVELING WAVE SOLUTIONS OF THE SPACE-TIME FRACTIONAL COUPLED BOUSSINESQ EQUATIONS pp. 1-18

Zhen Zheng, Hui Meng, Jing Zhang and Zenggui Wang

ON SELF-SIMILARITY OF BOUNDED REGIONS IN THE PLANE pp. 1-5

Xuemin Wang, Kan Jiang and Lifeng Xi

HERMITE–HADAMARD-TYPE INEQUALITIES FOR s-PREINVEX INTERVAL-VALUED FUNCTIONS VIA GENERALIZED FRACTIONAL INTEGRALS pp. 1-15

Xiaoling Wang and Dafang Zhao

A VARIATIONAL PRINCIPLE OF THE NONLINEAR SCHRÖDINGER EQUATION WITH FRACTAL DERIVATIVES pp. 1-6

Wen-Lei Li, Song-Hao Chen and Kang-Jia Wang

APPLICATION OF MATHEMATICAL MODELING IN SUPPLY CHAIN MANAGEMENT: A REVIEW pp. 1-14

Norazryana Binti Mat Dawi, Mohammad Akhtar and Hamidreza Namazi

CONSTRUCTION OF NOVEL SOLITON SOLUTIONS FOR THE FRACTIONAL CHIRAL NONLINEAR SCHRÖDINGER EQUATION pp. 1-14

Chun-Fu Wei and Kang-Le Wang

AN INNOVATIVE ANALYTICAL METHOD FOR SOLVING THE FRACTIONAL CAUDREY DODD GIBBON EQUATION pp. 1-14

Ahmad El-Ajou and Aliaa Burqan

RELATIVE PERMEABILITY OF UNSATURATED POROUS MEDIA WITH STRESS BASED ON FRACTAL THEORY pp. 1-17

Xiao-Hua Tan, Xiao-Jun Zhou, Peng Xu and Hang Zhang

ON CONFORMABLE FRACTIONAL NEWTON-TYPE INEQUALITIES pp. 1-16

Hongyan Xu, Muhammad Uzair Awan, Badreddine Meftah, Fahd Jarad and Abdelghani Lakhdari

ANALYTICAL PROPERTIES ON MULTIPLICATIVELY MψA-p-FUNCTIONS AND RELATED MULTIPLICATIVE ψ-HILFER FRACTIONAL TRAPEZOID-TYPE INEQUALITIES pp. 1-27

Zongrui Tan and Tingsong Du

Volume 33, issue 06, 2025

ON THE NEW k-BIVARIATE MITTAG-LEFFLER FUNCTION pp. 1-17

Hossein Jafari, Meryem Meddahi, Javad Ebadpour Golanbar and Nguyen van Thinh

COMPUTATIONAL ADVANCEMENTS IN SPECTRAL METHODS FOR SOLVING FRACTIONAL-ORDER DIFFERENTIAL EQUATIONS pp. 1-17

Zulfiqar Ahmad Noor, Imran Talib and Muhammad Bilal Riaz

ON COMPUTATIONAL EFFICIENT HIGHER-ORDER FRACTIONAL SCHEME FOR NONLINEAR PROBLEMS WITH ENGINEERING APPLICATIONS pp. 1-16

Mudassir Shams, Nasreen Kausar, Seifedine Kadry and Jungeun Kim

TWO IMPLICIT–EXPLICIT DIFFERENCE SCHEMES FOR A TIME-FRACTIONAL VISCOUS WAVE EQUATION ARISING IN GEOPHYSICS pp. 1-16

Jianxiong Cao and Shiyong Li

A COUPLED NONLINEAR SYSTEM OF INTEGRO-DIFFERENTIAL EQUATIONS USING MODIFIED ABC OPERATOR pp. 1-14

Hasib Khan, Jehad Alzabut, D. K. Almutairi, Wafa Khalaf Alqurashi, Sandra Pinelas, Osman Tun㇠and Mohammad Athar Azim

AN EFFICIENT COMPUTATIONAL ALGORITHM BASED ON LEGENDRE POLYNOMIALS FOR FRACTIONAL ORDER SUPPLY CHAIN SYSTEM pp. 1-14

Jagdev Singh, Jitendra Kumar, Devendra Kumar, Dumitru Baleanu and Obaid Algahtani

FRACTAL CURVE GENERATION THROUGH A GENERAL BINARY 6-POINT INTERPOLATING SUBDIVISION SCHEME WITH DUAL SHAPE CONTROL PARAMETERS pp. 1-14

Abdul Ghaffar, Tooba Bukhsh, Salem Alkhalaf, S. Abdel-Khalek, Shahram Rezapour, Ghulam Mustafa and Mustafa Inc

EXPLORING NEW GENERALIZED INEQUALITIES OF FRACTAL-FRACTIONAL INTEGRAL OPERATORS BY MEANS OF GENERALIZED MITTAG-LEFFLER KERNELS AND APPLICATION pp. 1-31

Saima Rashid, Zeemal Zia, Muhammad Kashif Iqbal and Miguel Vivas-Cortez

STABILITY ANALYSIS OF HYBRID LANGEVIN EQUATION VIA TWO FRACTIONAL OPERATORS pp. 1-13

Lamya Almaghamsi

ANALYTICAL SOLUTIONS FOR STOCHASTIC FRACTIONAL MACCARI SYSTEM pp. 1-13

Hossein Jafari, Nematollah Kadkhoda, Jabbar Abbas and Salah Boulaaras

WEIGHTED FRACTIONAL PROPORTIONAL OPERATORS REGARDING A FUNCTION ANDÂ THEIR HILFER UNIFICATION pp. 1-19

Iman Ben Othmane, Thabet Abdeljawad and Fahd Jarad

ENHANCING WATERMARKING TECHNIQUES USING SVD TRANSFORM AND THE GRASSHOPPER OPTIMIZATION ALGORITHM pp. 1-8

Khosro Jalali, Javad Vahidi, Seyed Saleh Mohseni and Hadi Dehbovid

CLIMATE CHANGE IMPACTS ON TRI-TROPHIC PREDATOR–PREY MODEL OF THE INTERACTIONS BETWEEN WOLVES, UNGULATES, AND PLANTS pp. 1-18

Ashraf Adnan Thirthar, Prabir Panja, Zahraa Albatool Mahdi, Bapin Mondal, Asma Al-Jaser, Manar A. Alqudah and Thabet Abdeljawad

QUALITATIVE AND QUANTITATIVE ANALYSES OF THE DYNAMICS OF A VECTOR-BORNE DISEASE USING A FRACTIONAL FRAMEWORK pp. 1-18

Rashid Jan, Normy Norfiza Abdul Razak, Asma Alharbi and Salah Boulaaras

THE ROTHE METHOD FOR SOLVING A NONLINEAR DIFFUSION SYSTEM WITH MULTI-TERM FRACTIONAL INTEGRAL OPERATORS AND NONLINEAR COUPLING TERMS pp. 1-18

Jinsheng Du, Lijie Li and Nguyen van Thien

FRACTALS FRACTIONAL MATHEMATICAL MODEL FOR THE EVOLUTION OF COVID-19 WITH VACCINATION AND SOCIAL MEDIA EFFECT pp. 1-18

Sadique Ahmad and Ala Saleh D. Alluhaidan

MONKEYPOX: A NEW MATHEMATICAL MODEL USING THE CAPUTO–FABRIZIO FRACTIONAL DERIVATIVE pp. 1-18

Tamilarasi Mathivanan, Radhakrishnan Bheeman, Prasantha Bharathi Dhandapani, Ibrahim Alraddadi, Hijaz Ahmad and Taha Radwan

EPIDEMIOLOGICAL MODELING WITH DEVELOPING COUNTRIES REALITIES: APPLICATION TO EBOLA AND COVID SPREAD pp. 1-28

Abdon Atangana and Seda Igret Araz

AN EXTENDED LAPLACE INTEGRAL TRANSFORM AND ITS APPLICATIONS pp. 1-22

Shilpi Jain, Miguel Vivas-Cortez, Parik Laxmi, Praveen Agarwal and Shaher Momani

FRACTAL PATTERN IN CONVEX BODIES’ EVOLUTION OF ROCK FRACTURE DYNAMICS WITH DEPENDENT FRAGMENTATION RATE pp. 1-21

Emile F. Doungmo Goufo, Herve M. Tenkam and Melusi Khumalo

DISCRETE FRACTIONAL INCOMMENSURATE ORDER EBOLA MODEL: ANALYZING DYNAMICS AND NUMERICAL SIMULATION pp. 1-10

MA’MON ABU Hammad, Rami Alkhateeb, Ghadeer Farraj, Noureddine Djenina and Adel Ouannas

PREFACE: SPECIAL ISSUE ON RECENT THEORETICAL AND NUMERICAL METHODS FOR SOLVING NONLINEAR EVOLUTION EQUATIONS WITH FRACTAL AND FRACTIONAL DERIVATIVES — PART II pp. 1-2

Hossein Jafari, Zakia Hammouch, Ioannis K. Argyros and Yusif S. Gasimov

A NUMERICAL ANALYSIS OF NABLA DISCRETE OPERATOR: TO INVESTIGATE PREY–PREDATOR MODEL pp. 1-12

Aziz Khan, Hisham Mohammad Alkhawar, Thabet Abdeljawad and Fehmi Mabrouk

SOLUTION OF A PROBLEM FOR THE EQUATION OF OSCILLATION OF THE LONGITUDINALLY STRESSED ROD BY THE FINITE DIFFERENCE METHOD pp. 1-12

Zakir F. Khankishiyev

A NUMERICAL SCHEME FOR A CLASS OF NONLINEAR MULTI-ORDER FRACTIONAL DIFFERENTIAL EQUATIONS pp. 1-12

Hossein Jafari, Saha Salati, Mashallah Matinfar and Nguyen van Thinh

SOLUTION OF TIME-FRACTIONAL BLACK–SCHOLES EQUATIONS VIA HOMOTOPY ANALYSIS SUMUDU TRANSFORM METHOD pp. 1-11

Hongliang Gao, Rishi Kumar Pandey, Ram Kishun Lodhi and Hossein Jafari

A NEW MATHEMATICAL MODEL FOR WATER UPTAKE DURING SOAKING OF GRAINS pp. 1-11

Sholeh Rostamirad, K. G. Duodu, J. P. Meyer and M. Sharifpur

OPERATIONAL MATRICES FOR SOLVING A CLASS OF VARIABLE-ORDER PARTIAL DIFFERENTIAL EQUATIONS pp. 1-9

Tingting Zhou, Mahluli Naisbitt Ncube, Saha Salati and Hossein Jafari

Volume 33, issue 05, 2025

A STUDY ON NEWTON-TYPE INEQUALITIES BOUNDS FOR TWICE ∗DIFFERENTIABLE FUNCTIONS UNDER MULTIPLICATIVE KATUGAMPOLA FRACTIONAL INTEGRALS pp. 1-36

Dingyi Ai and Tingsong Du

EXACT SOLUTIONS AND BIFURCATION ANALYSIS OF THE TIME-FRACTIONAL EXTENDED (3 + 1)-DIMENSIONAL KADOMTSEV–PETVIASHVILI EQUATION WITH CONFORMABLE DERIVATIVE pp. 1-28

Jing Zhang, Hui Meng, Zhen Zheng and Zenggui Wang

GENERAL FRACTAL DIMENSIONS OF GRAPHS OF CONTINUOUS FUNCTIONS ASSOCIATED WITH THE KATUGAMPOLA FRACTIONAL INTEGRAL pp. 1-13

Binyan Yu, Bilel Selmi and Yongshun Liang

MFA-LJP: IMPROVED LEGAL JUDGMENT PREDICTION USING BERT EMBEDDINGS-BASED MULTIFRACTAL ANALYSIS pp. 1-13

Jian-Hua Guan, Zu-Guo Yu and Xin-Gen Sun

SEMI-ANALYTICAL ANALYSIS OF A FRACTIONAL-ORDER PANDEMIC DYNAMICAL MODEL USING NON-LOCAL OPERATOR pp. 1-13

Muhammad Marwan, Gauhar Ali, Feng Li, Suhad Ali Osman Abdallah and Taoufik Saidani

EXPLORATION OF AN ORACLE BONE CROSS-SECTION CONTOUR CONJUGATION METHOD USING MULTIFRACTAL SPECTRUM SIGNATURES AND HISTOGRAM FEATURES pp. 1-10

Zun Li, Aimin Chen and Tongjun Miao

HAUSDORFF DIMENSION OF THE LIMSUP AND LIMINF SETS IN PIERCE EXPANSIONS pp. 1-10

Cai Long, Yongshun Liang and Liuhui Lu

MULTISCALE NONLINEARITY IN ENERGY COMMODITIES AND BOND MARKETS: MFDCCA VIA MODWT AND GRANGER CAUSALITY pp. 1-10

Milena Kojiä†, Petar Mitiä† and Fernando Henrique Antunes de Araujo

MULTISCALE HIGUCHI FRACTAL DIMENSION ANALYSIS OF THE STANDARD AND POOR’S INDEX pp. 1-10

E. Rodriguez, L. Castro and J. Alvarez-Ramirez

DETRENDED MULTIPLE CROSS-CORRELATION COEFFICIENT BASED ON Ï DMCA pp. 1-10

E. F. Guedes, R. M. T. S. Dias, A. M. Da Silva Filho and G. F. Zebende

TWO TYPES OF ECCENTRICITY SUMS AND GEODESICS SUM FOR SIERPIŃSKI GASKET pp. 1-10

Xiaohan Li, Xiangyu Liang, Cheng Zeng and Yumei Xue

MATHEMATICAL MODELS IN MARKETING AND CONSUMER BEHAVIOR: A COMPREHENSIVE REVIEW pp. 1-12

Norazryana Binti Mat Dawi, Hamidreza Namazi, Namita Gupta, Martin Matejicek and Petra Maresova

HARNESSING FRACTAL THEORY FOR BIOMEDICAL SIGNAL ANALYSIS: A COMPREHENSIVE REVIEW pp. 1-11

Najmeh Pakniyat, Jamaluddin Abdullah, Gaurav Agarwal, Ondrej Krejcar and Hamidreza Namazi

NEW PERSPECTIVE TO THE COUPLED FRACTIONAL NONLINEAR SCHRÖDINGER EQUATIONS IN DUAL-CORE OPTICAL FIBERS pp. 1-11

Kang-Le Wang

HARNESSING FRACTAL THEORY FOR ENHANCED DESIGN AND MANUFACTURING IN 3D PRINTING: A REVIEW pp. 1-9

Michal Schmirler, Jamaluddin Abdullah, Mayur Pratap Singh and Hamidreza Namazi

YOLO EXPERT SYSTEM FOR REAL-TIME PATTERN RECOGNITION USING DRONES ON WIND FARM TURBINE pp. 1-9

Ricardo Carreã‘o Aguilera, Marco A. Acevedo Mosqueda, Maria Elena Acevedo Mosqueda and Sandra Luz Gomez Coronel

CASCADING FAILURE IN FRACTAL SCALE-FREE NETWORKS pp. 1-20

Feiyan Guo, Lin Qi and Ying Fan

THE FRACTIONAL ANALYSIS OF (2 + 1)-DIMENSIONAL NONLINEAR TIME-FRACTIONAL ROSENAU–HYMAN MODEL USING NATURAL HOMOTOPY TRANSFORM METHOD pp. 1-16

Muhammad Nadeem, Yabin Shao, Mrim M. Alnfiai, Mohamed Hussien and Salma Mohsen M. Alnefaie

CLOVER-INSPIRED FRACTAL ARCHITECTURES: INNOVATIONS IN FLEXIBLE FOLDING SKINS FOR SUSTAINABLE BUILDINGS pp. 1-16

Yan-Ping Liu, Chun-Hui He, Khaled A. Gepreel and Ji-Huan He

TOPOLOGY AUTOMATON AND HÖLDER EQUIVALENCE OF BARAŃSKI CARPETS pp. 1-16

Yunjie Zhu, Liang-Yi Huang and Chunbo Cheng

A COMPREHENSIVE STUDY OF FRACTAL-FRACTIONAL REVERSE MINKOWSKI-TYPE INEQUALITIES WITH APPLICATIONS pp. 1-17

Hongyan Xu, Abdelghani Lakhdari, Wedad Saleh, Muhammad Uzair Awan and Badreddine Meftah

WIENER SUM OF LEVEL-3 SIERPINSKI NETWORK pp. 1-7

Qin Wang and Jiajun Xu

A NOVEL MONTE CARLO SIMULATION ON THE ELECTRICAL CONDUCTIVITY OF FRACTAL POROUS MEDIA pp. 1-14

Yonghui Liu, Boqi Xiao, An Feng, Wenjie Huang, Gongbo Long and Huaqing Xiao

BREAKING THE POWER PRICE CODE: WHAT MULTIFRACTALS AND COPULAS REVEAL ABOUT ENERGY MARKET DYNAMICS? pp. 1-14

SCHLÃœTER Stephan, Milena Kojiä†, Petar Mitiä†, Andreas von Dã–llen and Fernando Henrique Antunes de Araujo

MULTIFRACTAL ANALYSIS OF INHOMOGENEOUS MULTINOMIAL MEASURES WITH NON-DOUBLING PROJECTIONS pp. 1-15

Bilel Selmi, Shuang Shen and Zhihui Yuan

EXACT FORMULA OF EDGE-WIENER INDEX ON SIERPIŃSKI NETWORKS pp. 1-6

Wenyan Jin, Qin Wang and Kai Zhang

Volume 33, issue 04, 2025

DISTURBANCE OBSERVER-BASED ADAPTIVE NETWORK EVENT-TRIGGERED BACKSTEPPING SYNCHRONIZATION CONTROL FOR FRACTIONAL ORDER CHAOTIC SYSTEMS pp. 1-13

Hui Lv, Wei Xiang and Jun Zhu

STUDY ON NONLINEAR FRACTIONAL ORDER CONFORMABLE MODEL OF INFECTIOUS DISEASE USING UPDATED ANALYTICAL TECHNIQUES pp. 1-13

Manar A. Alqudah, Kamal Shah, Thabet Abdeljawad and Fatemah Mofarreh

STABILITY ANALYSIS OF WORM PROPAGATION IN WIRELESS SENSOR NETWORK MODEL UTILIZING FRACTAL-FRACTIONAL OPERATOR pp. 1-13

Govindaswamy Gokulvijay, Sriramulu Sabarinathan, Mohamed Biomy and Sofian Abuelbacher Adam Saad

THE WEAK ORDER FOR STRATONOVICH STOCHASTIC DIFFERENTIAL EQUATION USING THE TRIVIAL METHOD pp. 1-8

Yousef Alnafisah

THE EFFECTS OF ASSUMPTION VIOLATIONS ON COEFFICIENT OF DETERMINATION AND REGRESSION MODEL ACCURACY: A STUDY OF CONSTRUCTION GDP DATA pp. 1-8

Bader S. Alanazi

INNOVATIVE APPROACHES TO POPULATION DYNAMICS: THE ROLE OF FRACTIONAL OPERATOR AND SOLITON SOLUTIONS pp. 1-19

Muhammad Bilal Riaz, Abdelbaki Choucha, Rajaa Taher Matoog, Saad Althobaiti, Tomas Kozubek and Ifrah Iqbal

DYNAMICAL BEHAVIORS OF A FRACTIONAL-ORDER PREDATOR–PREY MODEL: INSIGHTS INTO MULTIPLE PREDATORS COMPETING FOR A SINGLE PREY pp. 1-18

Hasan S. Panigoro, Emli Rahmi, Ebenezer Bonyah, AKGÃœL Ali and Sayooj Aby Jose

A VARIANTE OF KATUGAMPOLA MILNE-TYPE INEQUALITIES FOR DIFFERENTIABLE s-CONVEX FUNCTIONS pp. 1-18

Hicham Saber, Abdelkader Moumen, Badreddine Meftah, Hamid Boulares, Moheddine Imsatfia, Rafik Guefaifia and Ibrahim Mekawy

APPLICATION OF PEROV FIXED POINT ON MODIFIED ABC COUPLED MODEL OF IMPULSIVE EQUATIONS IN HIGH-FRACTIONAL ORDER pp. 1-21

Mohammed Almalahi, Hicham Saber, Abdelkader Moumen, Ekram E. Ali, Khaled Aldwoah, Mohammed Hassan and Ahmed Himadan Ahmed

DATA ANALYSIS OF FRACTAL-FRACTIONAL CO-INFECTION COVID-TB MODEL WITH THE USE OF ARTIFICIAL INTELLIGENCE pp. 1-21

Hasib Khan, Jehad Alzabut, D. K. Almutairi, Haseena Gulzar and Wafa Khalaf Alqurashi

CERTAIN PATHWAY FRACTIONAL INTEGRAL FORMULAE INVOLVING EXTENDED k-HYPERGEOMETRIC FUNCTIONS pp. 1-10

Shilpi Jain, Parik Laxmi, Georgia Irina Oros, Praveen Agarwal and Shaher Momani

THE PROSPECTIVE ANALYSIS OF THREE-DIMENSIONAL TIME-FRACTIONAL HELMHOLTZ MODEL USING A NEW ITERATIVE METHOD pp. 1-12

Muhammad Nadeem, Omar Abu Arqub, Loredana Florentina Iambor, Mohamed Hussien and Ebraheem Alzahrani

RESULTS ON TRICOMPLEX PARTIAL METRIC SPACES AND THEIR APPLICATION IN THE NONLINEAR BOUNDARY VALUE PROBLEM OF FRACTIONAL ORDER pp. 1-9

Zahia Mostefaoui, Yahya Almalki, Hala Abd-Elmageed and Mohamed Abdalla

BLOW-UP SOLUTIONS FOR FRACTIONAL DIFFERENTIAL EQUATIONS WITH NONLINEAR MEMORY pp. 1-9

Mohammed Medkour, Belgacem Rebiai, Salem Alkhalaf and Asma Alharbi

EXTENDED HYPERGEOMETRIC LOGARITHMIC FUNCTIONS AND ITS APPLICATION IN GENERALIZED FRACTIONAL KINETIC EQUATIONS pp. 1-9

Mohamed Abdalla, Yahya Almalki, Ibrahim Mekawy and Hala Abd-Elmageed

EXISTENCE RESULTS FOR SOME p-KIRCHHOFF PROBLEMS WITH ψ-HILFER FRACTIONAL DERIVATIVE pp. 1-9

Hadeel Z. Alzumi, Wafa Shammakh and Abdeljabbar Ghanmi

FRACTIONAL INTEGRAL INEQUALITIES OF OSTROWSKI AND HADAMARD TYPE VIA k-ANALOGUES OF CAPUTO DERIVATIVES pp. 1-11

Yonghong Liu, Ghulam Farid, Loay Alkhalifa and Waqas Nazeer

NEURAL NETWORK-BASED ADAPTIVE PI BACKSTEPPING CONTROL FOR FRACTIONAL-ORDER CHAOTIC SYSTEMS WITH STATES CONSTRAINTS pp. 1-11

Chunzhi Yang and Yong Chen

TIME-FRACTIONAL DYNAMICS MODEL BLACK–SCHOLES: IMPLICATIONS FOR OPTION PRICING STABILITY pp. 1-11

Murugesan Sivashankar, Mohammad Alnegga, Sriramulu Sabarinathan and Rafik Guefaifia

SUM-OF-SQUARES APPROACH FOR MODELING AND CONTROL OF HAIL POWER SYSTEM WITH TIME DELAY AND CONFORMABLE FRACTIONAL-ORDER DERIVATIVE pp. 1-11

Omar Kahouli, Hamdi Gassara, Saleh Albadran, Ahmed El Hajjaji and Abdellatif Ben Makhlouf

NONLINEAR FRACTIONAL-ORDER FINANCIAL SYSTEM: CHAOTIC BEHAVIOR AND ULAM–HYERS STABILITY pp. 1-26

Arunachalam Selvam, Salah Boulaaras, Sriramulu Sabarinathan and Taha Radwan

TIME-SERIES PRICE STUDY OF CRYPTOCURRENCY: FRACTAL DIMENSIONS AND INTERPOLATION FUNCTIONS pp. 1-17

Shubham Kumar Verma and Salah Mahmoud Boulaaras

FRACTIONAL VIEW ANALYSIS OF THE DYNAMICS OF A PLANT DISEASE THROUGH CAPUTO–FABRIZIO DERIVATIVE pp. 1-17

Rashid Jan, Zahir Shah, Narcisa Vrinceanu, Mansoor H. Alshehri, Normy Norfiza Abdul Razak and Mihaela Racheriu

NUMERICAL STUDY OF FRACTAL FRACTIONAL CANCER MATHEMATICAL MODEL: WITH QUALITATIVE ANALYSIS pp. 1-17

Aziz Khan, Thabet Abdeljawad and D. K. Almutairi

AN IMPLICIT DIFFERENCE METHOD FOR SOLVING COUPLED MOBILE/IMMOBILE TRANSPORT SYSTEMS WITH GENERALIZED TIME-FRACTIONAL OPERATORS pp. 1-17

Shengda Zeng, Jinsheng Du and Sergey A. Timoshin

STUDY OF PIECEWISE GLOBAL FRACTIONAL FINANCIAL MODEL WITH THREE STATE VARIABLES pp. 1-16

Abdul Hameed, Mati Ur Rahman and Salah Boulaaras

ADAPTIVE FUZZY BACKSTEPPING CONTROL OF FRACTIONAL-ORDER NONLINEAR SYSTEMS WITH ACTUATOR FAULTS AND UNKNOWN DEAD ZONES pp. 1-16

Chunzhi Yang, Qingni Yang and Yufeng Lin

NON-EXISTENCE OF GLOBAL SOLUTIONS TO A SYSTEM OF FRACTIONALLY DAMPED FRACTIONAL DIFFERENTIAL PROBLEMS pp. 1-14

Faouzi Tebessi, Mohammed Cherif Bahi, Belgacem Rebiai, Mufda Alrawashdeh and Taha Radwan

EXPLORING FLUID BEHAVIOR WITH SPACE-TIME FRACTIONAL-COUPLED BOUSSINESQ EQUATION pp. 1-15

Hamood Ur Rehman, Salah Mahmoud Boulaaras, Magda Abd El-Rahman, M. Umair Shahzad and Dean Chou

OPTICAL SOLUTIONS WITH KUDRYASHOV’S ARBITRARY TYPE OF GENERALIZED NON-LOCAL NONLINEARITY AND REFRACTIVE INDEX VIA KUDRYASHOV AUXILIARY EQUATION METHOD pp. 1-15

Muhammad Amin Sadiq Murad, Waqas Ali Faridi, Adil Jhangeer, Mujahid Iqbal and Mubariz Garayev

ANALYSIS OF NEWTON AND HERMITE–HADAMARD-TYPE LOCAL FRACTIONAL INTEGRAL INEQUALITIES ON FRACTAL SETS USING GENERALIZED PRE-INVEXITY pp. 1-15

Hui-Yan Cheng, Ibrahim Mekawy, Juan Wang, Humera Batool and Muhammad Imran Qureshi

Editorial: Special Issue on Application of Fractional Calculus: Mathematical Modeling and Control — Part I pp. 1-6

Salah Boulaaras, Viet-Thanh Pham and Rashid Jan

Volume 33, issue 03, 2025

MATHEMATICAL MODEL FOR NANOFIBERS’ DIFFUSION IN A NANOFLUID AND NUMERICAL SIMULATION pp. 1-15

Xuejuan Li, Xinyue Yang, Ye-Cheng Luo and Ying Wang

A NEW BIVARIATE TEMOM METHOD FOR THE FRACTAL-LIKE AGGLOMERATE BROWNIAN COAGULATION pp. 1-15

Xujuan Li, Mingzhou Yu, Peng Xu, Xiaolei Shi and Zhiming Lu

OSCILLATION AND DIMENSIONS OF HARMONIC FUNCTIONS ON THE SIERPIŃSKI GASKETS pp. 1-6

Zhen Liang and Huo-Jun Ruan

ON A CLASS OF FRACTAL SETS WITH DIFFERENT UPPER AND LOWER BOX DIMENSIONS pp. 1-6

Qianqian Ren and Yongshun Liang

INTEGRAL SOLUTIONS OF AN INITIAL VALUE PROBLEM OF FRACTIONAL DYNAMIC EQUATIONS ON TIME SCALE pp. 1-14

Bikash Gogoi, Utpal Kumar Saha, Bipan Hazarika, Hijaz Ahmad, Dilber Uzun Ozsahin, M. Adel and Maged F. Alotaibi

κ-FRACTIONAL DERIVATIVE OPERATOR AND SOLUTION OF FRACTIONAL KINETIC EQUATIONS INVOLVING (κ,ð ” )-SECOND APPELL HYPERGEOMETRIC MATRIX FUNCTIONS WITH THE TWO VARIABLES pp. 1-14

Muneera Abdullah Qadha, Sarah Abdullah Qadha and Mohamed Abdalla

COMBINED EFFECTS OF THE ELECTRIC DOUBLE LAYER AND SLIP ON THE PERMEABILITY IN FRACTAL MICRO/NANO DUAL-POROSITY MEDIA pp. 1-14

Mingchao Liang, Wenyan Liu, Xueya Feng, Mingqing Zou, Liang Luo and Boqi Xiao

EXPLORATION OF (σ,h)-CONVEX FUNCTIONS ON FRACTAL SETS AND THEIR APPLICATIONS pp. 1-26

Chunyan Luo and Cuiling Wang

FRACTIONAL ANALYSIS OF POPULATION DYNAMICAL MODEL IN (3+1)-DIMENSIONS WITH FRACTAL-FRACTIONAL DERIVATIVES pp. 1-16

Fenglian Liu, Bowen Yang, Li Zhang, Muhammad Nadeem, Naif Almakayeel and Meshal Shutaywi

REMARKS ON INEQUALITIES WITH PARAMETER BY CONFORMABLE FRACTIONAL INTEGRALS pp. 1-16

Fatih Hezenci, Miguel Vivas-Cortez and HÃœSEYIN Budak

FRACTIONAL ANALYSIS OF ONE-DIMENSIONAL SCHRÖDINGER MODEL IN THE CONTEXT OF CAPUTO-TYPE FRACTIONAL DERIVATIVES BASED ON RESIDUAL POWER SERIES METHOD pp. 1-16

Muhammad Nadeem, Yabin Shao, Mrim M. Alnfiai, Wejdan Deebani and Meshal Shutaywi

NOVEL OPTICAL SOLITON SOLUTIONS OF THE FRACTIONAL PERTURBED SCHRÖDINGER EQUATION IN OPTICAL FIBER pp. 1-16

Kang-Le Wang and Chun-Fu Wei

ANALYSIS ON MULTIPLICATIVELY (P,m)-SUPERQUADRATIC FUNCTIONS AND RELATED FRACTIONAL INEQUALITIES WITH APPLICATIONS pp. 1-27

Dawood Khan, Saad Ihsan Butt and Youngsoo Seol

NOTICE OF RETRACTION: THE STUDY OF CHOLERA TRANSMISSION USING AN SIRZ FRACTIONAL ORDER MATHEMATICAL MODEL pp. 1-1

Reny George, Kosar Mohammadi, Hakimeh Mohammadi, Rahimeh Ghorbanian, Shahram Rezpour and Anh Duc

PREFACE: SPECIAL ISSUE ON RECENT DEVELOPMENTS ON THE FRACTAL AND FRACTIONAL CALCULUS IN PHYSICS AND CIRCUITS AND SYSTEMS — PART II pp. 1-1

Kang-Jia Wang, Aly Ramadan Seadawy and Devendra Kumar

LEVERAGING LOTUS SEEDS’ DISTRIBUTION PATTERNS FOR FRACTAL SUPER-ROPE OPTIMIZATION pp. 1-11

Yan-Ping Liu, Ji-Huan He and Md Hasan Mahmud

NEW GENERALIZATION AND REFINEMENT OF THE DIAMOND-α INTEGRAL CAUCHY–SCHWARTZ INEQUALITY ON TIME SCALES pp. 1-9

Huiyu Tang, Guangsheng Chen and Wen Ting Luo

ON ARITHMETIC PROGRESSIONS IN THE DIGITS OF ENGEL EXPANSIONS pp. 1-9

Zhigang Tian and Lulu Fang

TIKTOK’S INFLUENCE: INSIGHTS FROM A FRACTIONAL ORDER MATHEMATICAL MODEL ON HUMAN BEHAVIOR pp. 1-9

Fareeha Sami Khan, M. Khalid and Afraz Hussain Majeed

AUTOMATED GESTURE RECOGNITION USING ARTIFICIAL RABBITS OPTIMIZATION WITH DEEP LEARNING FOR ASSISTING VISUALLY CHALLENGED PEOPLE pp. 1-12

Radwa Marzouk, Ghadah Aldehim, Mohammed Abdullah Al-Hagery, Anwer Mustafa Hilal and Amani A. Alneil

FRACTAL-BASED MODELING OF RAIL ROUGHNESS pp. 1-18

Laura Mariana Babici, Jordi Romeu and Andrei Tudor

MULTIFRACTAL ANALYSIS OF THE DIVERGENCE POINTS ASSOCIATED WITH THE GROWTH OF DIGITS IN ENGEL EXPANSIONS pp. 1-8

Lei Shang and Yao Chen

NEW FRACTIONAL INTEGRAL INEQUALITIES FOR EXPONENTIALLY (h,m)-PREINVEX INTERVAL-VALUED FUNCTIONS pp. 1-19

Yun Tan, Dafang Zhao, Juan Eduardo Nã Poles Valdã‰s and Xiaoling Wang

AN EFFECTIVE NUMERICAL METHOD FOR STUDYING THE FRACTAL-FRACTIONAL SMOKING MODEL pp. 1-13

M. Adel, M. M. Khader, I. Alraddadi, N. H. Sweilam, M. B. Riaz and Hijaz Ahmad

RECOGNITION OF 3D SURFACE FRACTAL DIMENSION BASED ON CONVOLUTIONAL NEURAL NETWORK pp. 1-13

Liuqun Wang, Sheng Lei and Zijie Wang

THE FRACTAL FUNCTION APPROXIMATION AND ITS APPLICATION TO AERODYNAMIC MODELING pp. 1-13

Jinlei Cui, Zhixiong Xu, Weiqi Qian, Lei He, Bing Li and Hai Chen

A NEW FORMULATION AND ANALYTICAL APPLICATIONS OF FRACTIONAL OPERATORS pp. 1-13

Ahsan Mehmood, Muhammad Samraiz, Zhi-Guo Liu, Dumitru Baleanu and Miguel Vivas-Cortez

AVERAGE GEODESIC DISTANCE OF (2 × 3)-TYPE HYBRID SIERPINSKI GASKET pp. 1-13

Jiangwen Gu

A FRACTAL PORE-SCALE MODEL OF STRESS-DEPENDENT THERMAL CONDUCTIVITY IN A RECTANGULAR CROSS-SECTION TREE-LIKE MICROFRACTURE NETWORK pp. 1-13

Ruirui Wang, Shanshan Yang and Qian Zheng

AVERAGE GEODESIC DISTANCE OF SIERPIŃSKI NETWORKS ON TORUS pp. 1-13

Zixuan Zhao, Yumei Xue, Cheng Zeng and Lulu Peng

ANALYSIS AND DYNAMICS OF CHOLERA EPIDEMIC SYSTEM IN SOCIETY VIA FRACTAL-FRACTIONAL OPERATOR pp. 1-29

Fakhar Abbas, Abdul Ghaffar, AKGÃœL Ali, Aqeel Ahmad, Ghulam Mustafa, A. S. Hendy, Suhad Ali Osman Abdallah and N. S. Abd El-Gawaad

EXACT SOLUTIONS OF NONLINEAR FRACTIONAL CAHN–ALLEN EQUATION ARIES IN DIFFERENT NONLINEAR PHYSICAL PHENOMENON USING UNIFIED TECHNIQUE pp. 1-23

Najla A. Mohammed, Md. Nur Alam, Imran Talib, Dennis Ling Chuan Ching, Taghreed A. Assiri, Mohammad Hassan, Sultan Alshehery, Md. Fayz-Al-Asad, A. F. Aljohani, Sehra and Ilyas Khan

Volume 33, issue 02, 2025

SECURING INTERNET OF THINGS-ASSISTED CONSUMER ELECTRONICS USING BLOCKCHAIN WITH DEEP LEARNING-BASED USER AUTHENTICATION pp. 1-10

Hayam Alamro, Nadhem Nemri, Mohammed Aljebreen, Faheed A. F. Alrslani, Asma Alshuhail and Ahmed S. Salama

PREDICTIVE MODELING OF REAL-TIME COLORECTAL CANCER VIA HYPERPARAMETER CONFIGURATION WITH DEEP LEARNING USING PUBLIC HEALTH INDICATOR ANALYSIS pp. 1-14

Jamal Alsamri, Fatima Quiam, Mashael Maashi, Abdullah M. Alashjaee, Mohammad Alamgeer and Ahmed S. Salama

HARNESSING CORPUS LINGUISTICS AND DATA-DRIVEN LEARNING APPROACH FOR ARABIC MULTI-CLASS DIALECT DETECTION AND CLASSIFICATION pp. 1-14

Muhammad Swaileh A. Alzaidi, Alya Alshammari, Saad Alahmari, Hanan Al Sultan, Abdulkhaleq Q. A. Hassan and Ahmed S. Salama

IMPROVING FRACTALS FINANCIAL CREDIT RISK EVALUATION BASED ON DEEP LEARNING TECHNIQUES AND BLOCKCHAIN-BASED ENCRYPTION pp. 1-14

Fadoua Kouki, Hanan Abdullah Mengash, Nuha Alruwais, Achraf Ben Miled, Jawhara Aljabri and Ahmed S. Salama

ENHANCING CYBERSECURITY VIA ANOMALY RECOGNITION USING THERMAL EXCHANGE FRACTALS OPTIMIZATION WITH DEEP LEARNING ON IOT NETWORKS pp. 1-14

Asma A. Alhashmi, Hayam Alamro, Mohammed Aljebreen, Mohammed Alghamdi, Abeer A. K. Alharbi and Ahmed Mahmud

LEVERAGING BLOCKCHAIN WITH CHAOTIC OPPOSITIONAL BARNACLES MATING OPTIMIZER-BASED DEEP LEARNING MODEL FOR SECURE IOT ENVIRONMENT IN CONSUMER ELECTRONICS pp. 1-14

Fatma S. Alrayes, Nuha Alruwais, Fahd N. Al-Wesabi, Abdullah M. Alashjaee, Abeer A. K. Alharbi and Ahmed S. Salama

GAN-BASED SYNTHETIC MEDICAL IMAGE AUGMENTATION FOR CLASS IMBALANCED DERMOSCOPIC IMAGE ANALYSIS pp. 1-14

Amal Alshardan, Saad Alahmari, Mohammed Alghamdi, Mutasim Al Sadig, Abdullah Mohamed and Gouse Pasha Mohammed

FORTIFYING ANDROID SECURITY: HYPERPARAMETER TUNED DEEP LEARNING APPROACH FOR ROBUST SOFTWARE VULNERABILITY DETECTION pp. 1-14

Nada Alzaben, Abdullah M. Alashjaee, Mohammed Maray, Shoayee Dlaim Alotaibi, Abeer A. K. Alharbi and Ahmed Sayed

A NEUROMORPHIC ANALYSIS OF CLIMATE PATTERNS FOR COMPLEX ENVIRONMENTAL FRACTAL MODELING pp. 1-14

ALZU’BI Shadi, Tarek Kanan, Mohammed Elbes and Muder Almiani

IOT-DRIVEN HEART DISEASE PREDICTION WITH INTELLIGENT CLASSIFIER AND SQUIRREL SEARCH FEATURE SELECTION pp. 1-15

Abdulbasit A. Darem, Manal Abdullah Alohali, Siwar Ben Haj Hassine, Belal Zaqaibeh, Majed Aborokbah and Ahmed S. Salama

AUTOMATING METER CLASSIFICATION OF ARABIC POEMS: A HARRIS HAWKS OPTIMIZATION WITH DEEP LEARNING PERSPECTIVE pp. 1-15

Badriyya B. Al-Onazi, Majdy M. Eltahir, Muhammad Swaileh A. Alzaidi, Shouki A. Ebad, Shoayee Dlaim Alotaibi and Ahmed Sayed

COMPUTATIONAL INSIGHTS INTO ARABIC PROPAGANDA: AN INTEGRATION OF CORPUS LINGUISTICS WITH DEEP LEARNING APPROACH pp. 1-15

Muhammad Swaileh A. Alzaidi, Faheed A. F. Alrslani, Alya Alshammari, Majdy M. Eltahir, Hanan Al Sultan and Ahmed S. Salama

MULTI-CLASS AUTOMATED SPEECH LANGUAGE RECOGNITION USING NATURAL LANGUAGE PROCESSING WITH OPTIMAL DEEP LEARNING MODEL pp. 1-15

Reema G. Al-Anazi, Hamed Alqahtani, Muhammad Swaileh A. Alzaidi, Meshari H. Alanazi, Hanan Al Sultan, Amal F. Alrowaily, Jawhara Aljabri and Assal Alqudah

TOWARD ROBUST SPEECH EMOTION RECOGNITION AND CLASSIFICATION USING NATURAL LANGUAGE PROCESSING WITH DEEP LEARNING MODEL pp. 1-15

Saad Alahmari, Najla I. Al-Shathry, Majdy M. Eltahir, Muhammad Swaileh A. Alzaidi, Ayman Ahmad Alghamdi and Ahmed Mahmud

MODELING OF ENHANCED FRACTAL CHEETAH OPTIMIZER WITH DEEP LEARNING FOR INTEGRATED ARABIC DIALECT IDENTIFICATION pp. 1-15

Saad Alahmari, Najla I. Al-Shathry, Majdy M. Eltahir, Nuha Alruwais, Ahmed Sayed and Sitelbanat Abdelbagi

HYBRID DEEP LEARNING ALGORITHM FOR FRACTAL HUMAN ACTIVITY RECOGNITION USING SMART IOT-EDGE-CLOUD CONTINUUM pp. 1-20

Randa Allafi, Fadwa Alrowais, Mohammed Aljebreen, Noha Negm, Ahmed S. Salama and Radwa Marzouk

PREFACE: SPECIAL ISSUE ON APPLICATION OF BRAIN-LIKE COMPUTING TO THE MODELING AND SIMULATION OF COMPLEX SYSTEMS — PART II pp. 1-1

Shadi Mahmoud Faleh AlZu’bi, Maysam Abbod and Ashraf Darwish

ADVANCING DERMATOLOGIC ONCOLOGY USING PARAMETER-REFINED DEEP LEARNING-DRIVEN STRATEGY FOR ENHANCED PRECISION MEDICINE pp. 1-16

Rana Alabdan, Hanan Abdullah Mengash, Mashael M. Asiri, Faheed A. F. Alrslani, Abdullah Mohamed and Yazeed Alzahrani

APPLIED LINGUISTICS-DRIVEN ARTIFICIAL INTELLIGENCE APPROACH FOR SENTIMENT ANALYSIS AND CLASSIFICATION ON SOCIAL MEDIA pp. 1-16

Asma A. Alhashmi, Alya Alshammari, Muhammad Kashif Saeed, Muhammad Swaileh A. Alzaidi, Fuhid Alanazi and Ahmed Sayed

APPLIED LINGUISTICS DRIVEN LARGE LANGUAGE MODEL FOR SARCASM RECOGNITION ON SOCIAL MEDIA CORPORA pp. 1-16

Abdullah M. Alashjaee, Alya Alshammari, Muhammad Swaileh A. Alzaidi, Nazir Ahmad Ijaz, Manar Almanea and Ahmed S. Salama

ADVANCING SUSTAINABLE AGRICULTURE IN KSA USING DEEP LEARNING-DRIVEN AUTOMATED PEPPER LEAF DISEASE RECOGNITION MODEL pp. 1-16

Eatedal Alabdulkreem, Nuha Alruwais, Mohammed Maray, Rana Alabdan, Somia A. Asklany and Abdullah Mohamed

UBIQUITOUS LEARNING-DRIVEN NATURAL LANGUAGE PROCESSING FOR TWITTER CLIMATE CHANGE SENTIMENT ANALYSIS USING BAYESIAN MACHINE LEARNING FOR FOSTER SUSTAINABLE DEVELOPMENT IN RURAL AREAS pp. 1-19

Majdy M. Eltahir, Wala Bin Subait, Saad Alahmari, Abeer A. K. Alharbi, Ahmed S. Salama and Amani A. Alneil

SMART SURVEILLANCE: ADVANCED DEEP LEARNING-BASED VEHICLE DETECTION AND TRACKING MODEL ON UAV IMAGERY pp. 1-18

Kamal M. Othman, Nada Alzaben, Nuha Alruwais, Mohammed Maray, Abdulbasit A. Darem and Abdullah Mohamed

Volume 33, issue 01, 2025

Erratum: ON NEW SOLUTIONS OF THE NORMALIZED FRACTIONAL DIFFERENTIAL EQUATIONS pp. 1-3

Mohammed Al-Refai and Dumitru Baleanu

HAUSDORFF DIMENSION OF A CLASS OF COLORED SUBSTITUTION NETWORKS pp. 1-7

Qingcheng Zeng and Yumei Xue

ANALYZING THE RELATIONSHIP BETWEEN BRAIN AND HEART ACTIVITY ACROSS VARIOUS COLLABORATIVE TASKS pp. 1-7

Ondrej Krejcar, Petra Maresova, Jamaluddin Abdullah and Hamidreza Namazi

REVEALING THE RELATIONSHIP BETWEEN BRAIN AND SKIN BY ANALYZING THEIR RESPONSES TO AUDITORY STIMULI pp. 1-7

Ondrej Krejcar and Hamidreza Namazi

COMPLEX NETWORK CLASSIFICATION USING DENG ENTROPY AND BIDIRECTIONAL LONG SHORT-TERM MEMORY pp. 1-15

Marã A-Del-Carmen Soto-Camacho, Marcell Nagy, Roland Molontay and Aldo Ramirez-Arellano

FRACTAL MODEL FOR HETEROGENEOUS EFFECTIVE DIFFUSION AND ITS APPLICATION IN COMPOSITIONAL SIMULATIONS OF CO2 FLOODING IN TIGHT RESERVOIRS pp. 1-17

Mingyu Cai, Shugang Yang, Shuangxing Liu, Kunfeng Zhang, Ming Xue, Xingchun Li, Yuliang Su and Lei Li

ON THE HEWITT–STROMBERG DIMENSION OF THE GRAPHS OF SUMS AND PRODUCTS OF CONTINUOUS FUNCTIONS pp. 1-16

Rim Achour, Zhiming Li, Bilel Selmi and Tingting Wang

UNRAVELING FINANCIAL MARKET DYNAMICS: THE APPLICATION OF FRACTAL THEORY IN FINANCIAL TIME SERIES ANALYSIS pp. 1-10

Norazryana Binti Mat Dawi, Martin Matejicek and Petra Maresova

NUMERICAL ANALYSIS OF A FRACTIONAL MICRO/NANOBEAM-BASED MICRO-ELECTROMECHANICAL SYSTEM pp. 1-10

Shaoqing Zheng, Lei Chen and Junfeng Lu

FAULT CLASSIFICATION EXPERT SYSTEM FOR WIND TURBINE BLADE IMAGE DATABASES USING CONVOLUTIONAL NEURAL NETWORKS pp. 1-9

Ricardo Carreã‘o Aguilera, Daniel Pacheco Bautista, Miguel Patiã‘o Ortiz, Jos㉠Rafael Dorrego Pã“rtela, Victor Ivã N Moreno Oliva and Juliã N Patiã‘o Ortiz

ANALYSIS OF THE CORRELATION BETWEEN BRAIN AND MUSCLE REACTION IN REST AND LIMB MOVEMENTS pp. 1-9

Robert Frischer, Ondrej Krejcar, Dipak Kumar Ghosh and Hamidreza Namazi

COMPLEXITY-BASED ANALYSIS OF THE VARIATIONS IN SKIN REACTION IN DIFFERENT EMOTIONAL STATES pp. 1-9

Ondrej Krejcar, Anamika Pandey and Hamidreza Namazi

FRACTAL ANALYSIS IN ALTERNATIVE INVESTMENTS: UNVEILING DYNAMICS AND DIVERSIFICATION BENEFITS pp. 1-9

Norazryana Binti Mat Dawi and Petra Maresova

DECODING THE CORRELATION BETWEEN BRAIN ACTIVITY AND FACIAL MUSCLE RESPONSE DURING EXTERNAL STIMULATION pp. 1-9

Ondrej Krejcar and Hamidreza Namazi

SYMMETRY SCHEME OF THE TIME FRACTIONAL (3 + 1)-DIMENSIONAL MODIFIED EXTENDED ZAKHAROV–KUZNETSOV EQUATION IN PLASMA PHYSICS pp. 1-11

Jian-Gen Liu, Bin-Lu Feng and Yu-Feng Zhang

ARTIFICIAL INTELLIGENCE, INTERNET OF THINGS, AND BLOCKCHAIN IN EDUCATION: TOWARDS PERSONALIZED, INCLUSIVE, AND SUSTAINABLE LEARNING WITH SOCIAL IMPACT pp. 1-11

Ricardo Carreã‘o Aguilera, Marco Antonio Acevedo Mosqueda, Maria Elena Acevedo Mosqueda and Sergio Vidal Beltran

STABILITY ANALYSIS OF A FRACTIONAL ORDERED QUADROTOR UNMANNED AERIAL VEHICLE CHAOTIC SYSTEM pp. 1-12

Lamia Loudahi, Jing Yuan and Fatene Dioubi

LOCAL FRACTIONAL OSTROWSKI-TYPE INEQUALITIES FOR GENERALIZED s-φ-CONVEX FUNCTION ON FRACTAL SETS pp. 1-12

Yanrong An, Muhammad Aamir Ali, Chenchen Xu, Wei Liu and Fangfang Shi

NUMERICAL SIMULATION ON FLOW COUPLING IN A TRIPLE-FRACTURE NETWORK MODEL BASED ON FRACTAL GEOMETRY THEORY pp. 1-18

Zhou Zhou, Jingyun Zhu, Bin Wang, Guannan Liu, Ming Ji, Yang Liu and Boming Yu

TANGENT MEASURES ON HOMOGENEOUS CANTOR SETS ON â„ SATISFYING THE CONVEX OPEN SET CONDITION pp. 1-18

Yongtao Wang and Yumei Xue

A PREDATOR–PREY MODEL IN A STOCHASTIC ENVIRONMENT WITH PREDATOR MIGRATION pp. 1-19

Ao Shen, Yuming Chen and Li Wang

BIFURCATION ANALYSIS, CHAOTIC PHENOMENA, VARIATIONAL PRINCIPLE, HAMILTONIAN, SOLITARY AND PERIODIC WAVE SOLUTIONS OF THE FRACTIONAL BENJAMIN ONO EQUATION pp. 1-13

Yan-Hong Liang and Kang-Jia Wang

UNDERSTANDING THE ROLE OF MOVABLE OIL IN THE COMPLEXITY OF SHALE PORE STRUCTURES BASED ON FRACTAL THEORY pp. 1-13

Kouqi Liu, Hong Zhang, Zhenlin Wang, Yamin Wang, Zhengchen Zhang and Mehdi Ostadhassan

AVERAGE PATH LENGTH AND AVERAGE FERMAT DISTANCE OF A CLASS OF POLYGON NETWORKS pp. 1-13

Daohua Wang, Cheng Zeng and Yumei Xue

A COMPLEXITY-BASED EXAMINATION OF VARIATIONS IN BRAIN ACTIVITY BETWEEN INDIVIDUALS WITH INTELLECTUAL AND DEVELOPMENTAL DISORDERS (IDD) AND HEALTHY CONTROLS DURING REST AND EXTERNAL STIMULATION PERIODS pp. 1-8

Najmeh Pakniyat, Ali Selamat, Ondrej Krejcar, Shadab Ahamad Ansari and Hamidreza Namazi

ANALYSIS ON MULTIPLICATIVE k-ATANGANA–BALEANU FRACTIONAL INTEGRALS WITH APPLICATION TO VARIOUS MERCER-TYPE INEQUALITIES pp. 1-37

Yun Long and Tingsong Du

HYBRID FRACTIONAL INTEGRAL INEQUALITIES IN MULTIPLICATIVE CALCULUS WITH APPLICATIONS pp. 1-28

Muhammad Umar, Saad Ihsan Butt and Youngsoo Seol