Chaos, Solitons & Fractals

2002 - 2025

Current editor(s): Stefano Boccaletti and Stelios Bekiros

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2020, volume 131, articles C

Corrigendum: Coding theory on the m-extension of the Fibonacci p-numbers

Bandhu Prasad

Research on complexity evolution of marketing evaluation data based on fractional calculus

Fang Ji

Research on personal financial data storage medium system based on fractional order calculus encryption algorithm

Yue Yin and Luyao Wang

Combined application of blockchain technology in fractional calculus model of supply chain financial system

Ting Chen and Derong Wang

Research on the law of spatial fractional calculus diffusion equation in the evolution of chaotic economic system

Hui Wang, Chen Weng, Zibei Song and Junyu Cai

Noise detection and image denoising based on fractional calculus

Qi Wang, Jing Ma, Siyuan Yu and Liying Tan

Analysis of a dynamics duopoly game with two content providers

Hamid Garmani, Driss Ait Omar, Mohamed El Amrani, Mohamed Baslam and Mostafa Jourhmane

Research on application of fractional calculus in signal analysis and processing of stock market

Miao Yu, Keshu Yu, Tianze Han, Yuming Wan and Dongwei Zhao

An approach dealing with inertia nonlinearity of a cantilever model subject to lateral basal Gaussian white noise excitation

Gen Ge and Nana Xie

Endogenous desired debt in a Minskyan business model

Lorenzo Cerboni Baiardi, Ahmad Naimzada and Anastasiia Panchuk

Soliton dynamics in a fractional complex Ginzburg-Landau model

Yunli Qiu, Boris A. Malomed, Dumitru Mihalache, Xing Zhu, Li Zhang and Yingji He

Big data analytics using multi-fractal wavelet leaders in high-frequency Bitcoin markets

Salim Lahmiri and Stelios Bekiros

Abundant numerical and analytical solutions of the generalized formula of Hirota-Satsuma coupled KdV system

Ahmad T. Ali, Mostafa M.A. Khater, Raghda A.M. Attia, Abdel-Haleem Abdel-Aty and Dianchen Lu

Numerical and approximate solutions for coupled time fractional nonlinear evolutions equations via reduced differential transform method

Saud Owyed, M.A. Abdou, Abdel-Haleem Abdel-Aty, W. Alharbi and Ramzi Nekhili

On asymptotic stable solutions of a quadratic Erdélyi-Kober fractional functional integral equation with linear modification of the arguments

Maryam Ahmed Alyami and Mohamed Abdalla Darwish

Explicit iteration to a nonlinear fractional Langevin equation with non-separated integro-differential strip-multi-point boundary conditions

Guotao Wang, Jianfang Qin, Lihong Zhang and Dumitru Baleanu

Existence and data dependence theorems for solutions of an ABC-fractional order impulsive system

Hasib Khan, Aziz Khan, Fahd Jarad and Anwar Shah

Monotonically decreasing behavior of measles epidemic well captured by Atangana–Baleanu–Caputo fractional operator under real measles data of Pakistan

Sania Qureshi and Zaib-un-Nisa Memon

Solitons, breathers and rogue waves for the three-component Gross–Pitaevskii equations in the spinor Bose–Einstein condensates

Xiang Luo

Multi-scale Apparent Magnetization Inversion Imaging Method Based on the Theoretical Pseudo-gravity Anomalies

Jun Li, Jinxi Li, Weilin Li, Xingxiang Jian and Xin Wu

Different types of sliding mode controller for nonlinear fractional multi-Agent system

Amin Sharafian, Alireza Sharifi and Weidong Zhang

Stability and Hopf bifurcation analysis of an SVEIR epidemic model with vaccination and multiple time delays

Zizhen Zhang, Soumen Kundu, Jai Prakash Tripathi and Sarita Bugalia

Mittag-Leffler functions in superstatistics

Maike A.F. dos Santos

Combination synchronization and stability analysis of time-varying complex-valued neural networks

Zhang Hao, Wang Xing-yuan, Yan Peng-fei and Sun Yu-jie

On the traveling waves in nonlinear electrical transmission lines with intrinsic fractional-order using discrete tanh method

Emmanuel Fendzi Donfack, Jean Pierre Nguenang and Laurent Nana

Fractional-like Hukuhara derivatives in the theory of set-valued differential equations

Anatoliy A. Martynyuk, Gani Tr. Stamov and Ivanka M. Stamova

Chaos and complexity in a fractional-order higher-dimensional multicavity chaotic map

Lingyu Wang, Kehui Sun, Yuexi Peng and Shaobo He

Caputo–Fabrizio fractional derivatives modeling of transient MHD Brinkman nanoliquid: Applications in food technology

Farhad Ali, Farman Ali, Nadeem Ahmad Sheikh, Ilyas Khan and Kottakkaran Sooppy Nisar

One-dimensional reaction-diffusion dynamics in spatially bounded domains

Francesco Sarnari

Quasi-pinning synchronization and stabilization of fractional order BAM neural networks with delays and discontinuous neuron activations

A. Pratap, R. Raja, J. Cao, Fathalla A. Rihan and Aly R. Seadawy

Spiral and target wave chimeras in a 2D network of nonlocally coupled van der Pol oscillators

Bukh A.V. and Anishchenko V.S.

The effect of similarity on the evolution of fairness in the ultimatum game

Yakun Zhao, Tianyu Xiong, Lei Zheng, Yumeng Li and Xiaojie Chen

Dynamic response analysis of structure with hybrid random and interval uncertainties

Yanlin Zhao, Zhongmin Deng and Yongwei Han

Evolutionary dynamics for the generalized Baliga–Maskin public good model

Elvio Accinelli, Filipe Martins and Alberto A. Pinto

When rumors create chaos in e-commerce

Ajit Kumar Keshri, Bimal Kumar Mishra and Bansidhar Prasad Rukhaiyar

Construction of blind restoration model for super-resolution image based on chaotic neural network

Congshi Jiang and Quan Chen

Almost sure exponential stability of the Milstein-type schemes for stochastic delay differential equations

Rong Hu

Estimating the approximate analytical solution of HIV viral dynamic model by using homotopy analysis method

Parvaiz Ahmad Naik, Jian Zu and Mohammad Ghoreishi

Chaotic maps with nonlocal coupling: Lyapunov exponents, synchronization of chaos, and characterization of chimeras

Carlos A.S. Batista and Ricardo L. Viana

Evaluation research on green degree of equipment manufacturing industry based on improved particle swarm optimization algorithm

Rong Wang and Yue Feng

Discounted perpetual game call options

Tsvetelin S. Zaevski

Co-evolution of limited resources in the memory-based spatial evolutionary game

Chengbin Sun and Chao Luo

Optimized exit door locations for a safer emergency evacuation using crowd evacuation model and artificial bee colony optimization

Nurulaqilla Khamis, Hazlina Selamat, Fatimah Sham Ismail, Omar Farouq Lutfy, Mohamad Fadzli Haniff and Ili Najaa Aimi Mohd Nordin

A general stability criterion for multidimensional fractional-order network systems based on whole oscillation principle for small fractional-order operators

Zhe Zhang, Zhaoyang Ai, Jing Zhang, Fanyong Cheng, Feng Liu and Can Ding

Research and analysis of deep learning image enhancement algorithm based on fractional differential

Kai Liu and Yanzhao Tian

Fractional modified Kawahara equation with Mittag–Leffler law

Sanjay Bhatter, Amit Mathur, Devendra Kumar, Kottakkaran Sooppy Nisar and Jagdev Singh

Indirect prediction system for variables that have gaps in their time series

Junio S. Bulhoes, Cristiane L. Martins, Marcia D. Oliveira, Debora F. Calheiros and Wesley P. Calixto

Spline collocation methods for systems of fuzzy fractional differential equations

Zahra Alijani, Dumitru Baleanu, Babak Shiri and Guo-Cheng Wu

Memory and renewal aging of strong earthquakes in Hellenic seismicity

A. Iliopoulos, D. Chorozoglou, C. Kourouklas, O. Mangira and E. Papadimitriou

Resonances and chaos of electrostatically actuated arch micro/nanoresonators with time delay velocity feedback

Chun-Xia Liu, Yan Yan and Wen-Quan Wang

Reliability of elastic impact system with Coulomb friction excited by Gaussian white noise

Li Liu, Wei Xu, Xiaole Yue and Yan Qiao

Sine-Wiener bounded noise-induced logical stochastic resonance in a two-well potential system

Guanghui Cheng, Weidan Liu, Rong Gui and Yuangen Yao

Noise-induced early afterdepolarizations in a three-dimensional cardiac action potential model

E. Slepukhina, L. Ryashko and P. Kügler

Dynamics and high-efficiency of a novel multi-stable energy harvesting system

Tao Yang and Qingjie Cao

Reputation evaluation with tolerance and reputation-dependent imitation on cooperation in spatial public goods game

Ji Quan, Caixia Tang, Yawen Zhou, Xianjia Wang and Jian-Bo Yang

Promoting knowledge sharing in the workplace: Punishment v. reward

Zaisheng Zhang, Fang Song and Zongbin Song

On the dynamics of two-dimensional dissipative discontinuous maps

Rodrigo M. Perre, Bárbara P. Carneiro, J.A. Méndez-Bermúdez, Edson D. Leonel and Juliano A. de Oliveira

Chaos and complexity in a fractional-order financial system with time delays

Shaojie Wang, Shaobo He, Amin Yousefpour, Hadi Jahanshahi, Robert Repnik and Matjaž Perc

Bifurcation mechanism of periodic bursting in a simple three-element-based memristive circuit with fast-slow effect

Y. Lin, W.B. Liu, H. Bao and Q. Shen

Chaotic dynamics of linear hyperbolic PDEs with nonlinear boundary conditions

Qiaomin Xiang, Zongbin Yin and Pengxian Zhu

Fractional investigation of bank data with fractal-fractional Caputo derivative

Zhongfei Li, Zhuang Liu and Muhammad Altaf Khan

Can fractional differentiation improve stability results and data fitting ability of a prostate cancer model under intermittent androgen suppression therapy?

Ozlem Ozturk Mizrak, Cihan Mizrak, Ardak Kashkynbayev and Yang Kuang

Group decision under uncertain information

Peng Sun and Jun Zhang

Autonomic learning via saturation gain method, and synchronization between neurons

Zhilong Liu, Ping Zhou, Jun Ma, Aatef Hobiny and Faris Alzahrani

Deterministic modeling of dysentery diarrhea epidemic under fractional Caputo differential operator via real statistical analysis

Hailay Weldegiorgis Berhe, Sania Qureshi and Asif Ali Shaikh

The partial visibility curve of the Feigenbaum cascade to chaos

Juan Carlos Nuño and Francisco J. Muñoz

Systematic construction of high dimensional fractional-order hyperchaotic systems

Manashita Borah and Binoy Krishna Roy

Magnetic field effect on a fractionalized blood flow model in the presence of magnetic particles and thermal radiations

C.B. Tabi, P.A.Y. Ndjawa, T.G. Motsumi, C.D.K. Bansi and T.C. Kofané

Mathematical application of a non-local operator in language evolutionary theory

Emile F. Doungmo Goufo, M Khumalo, Ignace Tchangou Toudjeu and Ahmet Yildirim

Traveling wave solutions of some important Wick-type fractional stochastic nonlinear partial differential equations

Hyunsoo Kim, Rathinasamy Sakthivel, Amar Debbouche and Delfim F.M. Torres

Effects of weak disorder on two-dimensional bilayered dipolar Bose–Einstein condensates

Abdelâali Boudjemâa and Redaouia Keltoum

Interpreting initial offset boosting via reconstitution in integral domain

Mo Chen, Xue Ren, Huagan Wu, Quan Xu and Bocheng Bao

Competitive exclusion in a multi-strain malaria transmission model with incubation period

Tingting Zheng, Lin-Fei Nie, Zhidong Teng and Yantao Luo

Fejér–Hermite–Hadamard type inequalities involving generalized h-convexity on fractal sets and their applications

Chunyan Luo, Hao Wang and Tingsong Du

Analysis of regular and chaotic dynamics in a stochastic eco-epidemiological model

Irina Bashkirtseva, Lev Ryashko and Tatyana Ryazanova