Abstract and Applied Analysis

1996 - 2025

Continuation of Abstract and Applied Analysis.

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Volume 2025, issue 1, 2025

Some New Application of Extended Wright Function

Pallavi Sharma, Ekta Mittal, D. L. Suthar and Rajni Gupta

On Shape Optimization Theory With Fractional p‐Laplacian Operators

Malick Fall, Alassane Sy, Ibrahima Faye and Diaraf Seck

Dynamics of the Fractional‐Order Between‐Host Cholera Model With Temperature‐Dependence

Owade Kennedy Jackob and Colleta Akinyi

Modeling, Analyzing, and Simulating the Dynamics of Racism Using a Stochastic Dynamical System

Aychew Wondyfraw Tesfaye, Tariku Merga Tolasa, Endalew Hawi Cheri and Teferi Mengistu Mekonen

Singular Integral Equations of Convolution Type With Carleman Shift

A. S. Nagdy, Kh. M. Hashem and H. E. H. Ebrahim

Regularity and Classification of Solutions to Fractional‐Order Systems With Hartree‐Type Nonlinearities

Yu-Cheng An and Guai-Qi Tian

Common Fixed Point Results on b‐Metric Spaces for Generalized Rational Type (ϑ, ψ, φ)‐Weakly Contractive Mappings With Applications

Albray Gebremariam Kalo, Kidane Koyas Tola and Haider Ebrahim Yesuf

An Innovative Approach to the Product of k‐Hybrid Functional Integral Equation

A. M. A. El-Sayed and Sh. M. Al-Issa

Advanced Mathematical Approaches for the Kadomtsev–Petviashvili and Bogoyavlensky–Konopelchenko Equations in Applied Sciences

Md. Abdul Aziz

Mathematical Modeling of Brucellosis Transmission Dynamics and Its Age‐Specific Applications

Innocent Sosoma, Eunice Mureithi and Nyimvua Shaban Mbare

Crank–Nicolson Method for the Advection‐Diffusion Equation Involving a Fractional Laplace Operator

Martin Nitiema, Thomas Tindano and Windjiré Some

A Caputo Fractional‐Order Model for Dog Rabies Transmission With Vaccination: A Case Study of Ulanga District, Tanzania

Jufren Zakayo Ndendya, Stephen Edward and Maganga Sambo

On the New Hahn Sequence Space h(2)

Orhan Tuğ

The Role of Generalized β−J Contraction Mappings in Neutrosophic Metric Spaces and Its Applications

M. Pandiselvi, M. Jeyaraman and Rahul Shukla

Stability of Continuous Time Difference Systems

Rigoberto Medina

Fractional Gauss Hypergeometric Power Series Method for Solving Fractional Partial Differential Equations

Isaac Addai, Benedict Barnes, Isaac Kwame Dontwi and Kwaku Forkuoh Darkwah

Qualitative Behavior of Bidimensional Rational Fuzzy Difference Equations

Najmeddine Attia and Ahmed Ghezal

Fixed Point Results for Geraghty Type Contraction Mapping in Neutrosophic b‐Metric Spaces

M. Pandiselvi, M. Jeyaraman and Rahul Shukla

A Comparative Study of a Fractional‐Order Rabies Model With MCMC Estimation Using Singular and Nonsingular Operators

Jufren Zakayo Ndendya, Joshua A. Mwasunda, Stephen Edward and Nyimvua Shaban

Common Fixed Points Within Framework of F‐Modular b‐Metric Space and Its Applications

Parveen Tyagi, Surjeet Singh Chauhan (Gonder), Naveen Mani and Rahul Shukla

Mathematical Analysis of the Monkeypox Epidemic With Infective Immigrants Using Real Data From Nigeria

Philip N. A. Akuka, Baba Seidu and Mehmet Gümüş

Fixed Point Results for Cyclic Generalized ψ‐Weak Contraction Mapping in Rectangular b‐Metric Spaces With Applications

Nigussa L. Bayissa and Kidane K. Tola

Mean‐Square Ulam–Hyers–Rassias Stability of Riemann–Liouville Fractional Stochastic Differential Equations

Mohsen Alhassoun and Khalil Yahya

Analysis of the Weak Formulation of a Coupled Nonlinear Parabolic System Modeling a Heat Exchanger

Kouma Ali Ouattara, Bomisso Gossrin Jean-Marc, Bérenger Akon Kpata and Touré Kidjégbo Augustin

RETRACTION: The Modification of Kernel Function and Its Applications

Abstract and Applied Analysis

A General Class of Multivariable Mittag–Leffler Function and Its Associated Applications

B. B. Jaimini, Meenu, Suman Sharma, S. D. Purohit and D. L. Suthar

A Higher Order Nonresonant p‐Laplacian Boundary Value Problem on an Unbounded Domain

S. A. Iyase and O. F. Imaga

Mathematical Modeling and Optimal Control of the Dynamics of an Internal Radicalization Process

Wendpanga Alain Tapsoba, Yacouba Simpore and Oumar Traore

Volume 2024, issue 1, 2024

Mathematical Modeling of Coccidiosis Dynamics in Chickens with Some Control Strategies

Yustina A. Liana and Mary C. Swai

Bifurcation in a G0 Model of Hematological Stem Cells With Delay

Ma Suqi and S. J. Hogan

Efficient Numerical Method for Solving a Quadratic Riccati Differential Equation

Wendafrash Seyid Yirga, Fasika Wondimu Gelu, Wondwosen Gebeyaw Melesse and Gemechis File Duressa

Frequently Hypercyclic Semigroup Generated by Some Partial Differential Equations with Delay Operator

Cheng-Hung Hung

Viscosity Approximation for Split Equality Generalized Mixed Equilibrium Problems With Semigroups of Nonexpansive Mappings

Prashant Patel and Rahul Shukla

A Complex Dynamic of an Eco‐Epidemiological Mathematical Model with Migration

Assane Savadogo, Boureima Sangaré and Wendkouni Ouedraogo

Approximation by q‐Post‐Widder Operators Based on a New Parameter

Qiu Lin

The Solvability and Explicit Solutions of Singular Integral–Differential Equations with Reflection

A. S. Nagdy, Kh. M. Hashem and H. E. H. Ebrahim

On an Euler–Abel Type Transform of Trigonometric Series

N. Sh. Berisha, F. M. Berisha and M. Sadiku

Optimal Intervention Strategies on TB Epidemiology in a Prison Population

Sibaliwe Maku Vyambwera and Peter Witbooi

Oscillation of Fourth‐Order Nonlinear Semi‐Canonical Neutral Difference Equations via Canonical Transformations

P. Ganesan, G. Palani, John R. Graef and E. Thandapani

Multiplicity of Solutions for a Class of Kirchhoff–Poisson Type Problem

Ziqi Deng and Xilin Dou

Solutions of Inhomogeneous Multiplicatively Advanced ODEs and PDEs with a q‐Fredholm Theory and Applications to a q‐Advanced Schrödinger Equation

David W. Pravica, Njinasoa Randriampiry and Michael J. Spurr

Modeling and Stability Analysis of the Dynamics of Malaria Disease Transmission with Some Control Strategies

Alemzewde Ayalew, Yezbalem Molla and Amsalu Woldegbreal

Modeling and Analysis of Fasciola Hepatica Disease Transmission

Dagnaw Tantie Yihunie, Joseph Y. T. Mugisha, Dawit Melese Gebru and Haileyesus Tessema Alemneh

Double‐Scale Expansions for a Logarithmic Type Solution to a q‐Analog of a Singular Initial Value Problem

Stéphane Malek

Solutions of Bessel’s Differential Equations by Variable Change Method

Beyalfew Anley, Daba Meshesha Gusu and Tolosa Nigussie

Volume 2023, issue 1, 2023

On the E‐Hyperstability of the Inhomogeneous σ‐Jensen’s Functional Equation on Semigroups

M. Sirouni and S. Kabbaj

On the Heat and Wave Equations with the Sturm‐Liouville Operator in Quantum Calculus

Serikbol Shaimardan, Lars-Erik Persson and Nariman Tokmagambetov

Control of the Cauchy System for an Elliptic Operator: The Controllability Method

Bylli André B. Guel

Fixed Point Results via Real‐Valued Function Satisfying Integral Type Rational Contraction

Naveen Mani, Amit Sharma and Rahul Shukla

Control of the Spread of COVID‐19 by the Sentinel Method and Numerical Simulation of the Studied Model Solution

Mifiamba Soma, Mamadou Ouedraogo, Kassiénou Lamien and Somdouda Sawadogo

Global Existence and Large Time Behavior for the 2‐D Compressible Navier‐Stokes Equations without Heat Conductivity

Shuofa Xiao and Haiyan Xu

Gevrey Asymptotics for Logarithmic‐Type Solutions to Singularly Perturbed Problems with Nonlocal Nonlinearities

Stéphane Malek

Hybrid Fitted Numerical Scheme for Singularly Perturbed Convection‐Diffusion Problem with a Small Time Lag

Mulunesh Amsalu Ayele, Awoke Andargie Tiruneh and Getachew Adamu Derese

Fixed‐Point Theorems Involving Lipschitz in the Small

Christiana Rini Indrati

Generalized Enriched Nonexpansive Mappings and Their Fixed Point Theorems

Rahul Shukla and Rekha Panicker

Global Existence and Decay Rate of Smooth Solutions for Full System of Partial Differential Equations for Three‐Dimensional Compressible Magnetohydrodynamic Flows

Mohamed Ahmed Abdallah and Zhong Tan

Caputo Fractional Derivative for Analysis of COVID‐19 and HIV/AIDS Transmission

Kumama Regassa Cheneke

On the Optimal Control of Intervention Strategies for Hepatitis B Model

Abdulfatai Atte Momoh, Abubakar Audu, Déthié Dione and Inalegwu Michael Ali

A Modified RBF Collocation Method for Solving the Convection‐Diffusion Problems

Nissaya Chuathong

Investigation of Fractional Calculus for Extended Wright Hypergeometric Matrix Functions

Mohamed Niyaz, Ahmed H. Soliman and Ahmed Bakhet

On Annihilated Points and Approximate Fixed Points of General Higher‐Order Nonexpansive Mappings

Joseph Frank Gordon, Abdul Hayee Shaikh, Augustine Annan, Yarhands Dissou Arthur, Emmanuel Akweittey and Benjamin Adu Obeng

Study of the Stability Properties for a General Shape of Damped Euler–Bernoulli Beams under Linear Boundary Conditions

Teya Kouakou Kra Isaac, Bomisso Gossrin Jean-Marc, Touré Kidjegbo Augustin and Coulibaly Adama