Publications

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Advanced Numerical Methods for Fractional-Order Differential Systems

European Journal of Pure and Applied Mathematics | Vol. 19 | Issue 1 | 2026

DOI: https://doi.org/10.29020/nybg.ejpam.v19i1.7205

Dynamics and Chaos Analysis of the Fractional-Order Lü System Using a Hybrid Approach

Fractal and Fractional | Vol. 10 | Issue 1 | 2026

DOI: https://doi.org/10.3390/fractalfract10010051

Exploring Stability and Chaos in the Fractional-Order Arneodo System via Grünwald–Letnikov Scheme

Mathematics | Vol. 13 | Issue 24 | 2025

DOI: https://doi.org/10.3390/math13243925

Chaos and Bifurcations in the Dynamics of the Variable-Order Fractional Rössler System

Mathematics | Vol. 22 | Issue 13 | 2025

DOI: https://doi.org/10.3390/math13223695

Chaos and Dynamic Behavior of the 4D Hyperchaotic Chen System via Variable-Order Fractional Derivatives

Mathematics | Vol. 13 | Issue 20 | 2025

DOI: https://doi.org/10.3390/math13203240

Efficient Numerical Techniques for Investigating Chaotic Behavior in the Fractional-Order Inverted Rössler System

Symmetry | 2025

DOI: https://doi.org/10.3390/sym17030451

Numerical Simulation and Solutions for the Fractional Chen System via Newly Proposed Methods

Fractal and Fractional | Vol. 8 | Issue 12 | 2024

DOI: https://doi.org/10.3390/fractalfract8120709

Effective methods for numerical analysis of the simplest chaotic circuit model with Atangana-Baleanu Caputo fractional derivative

Journal of Engineering Mathematics | Vol. 144 | Issue 1 | 2024

DOI: https://doi.org/10.1007/s10665-023-10319-x

A Comparative Numerical Study of the Symmetry Chaotic Jerk System with a Hyperbolic Sine Function via Two Different Methods

Symmetry | Vol. 15 | Issue 11 | 2023

DOI: https://doi.org/10.3390/sym15111991

An approximate solution of a time fractional Burgers' equation involving the Caputo-Katugampola fractional derivative

Partial Differential Equations in Applied Mathematics | Vol. 8 | Issue 3 | 2023

DOI: https://doi.org/10.1016/j.padiff.2023.100560

A Numerical Solution and Comparative Study of the Symmetric Rossler Attractor with the Generalized Caputo Fractional Derivative via Two Different Methods

Mathematics | Vol. 11 | Issue 13 | 2023

DOI: https://doi.org/10.3390/math11132997

Numerical Solutions of Time-Fractional Whitham–Broer–Kaup Equations via Sumudu Decomposition Method

Journal of Mathematics | Vol. 2023 | Issue 1 | 2023

DOI: https://doi.org/10.1155/2023/4664866

Initial Value Problems with Generalized Fractional Derivatives and Their Solutions via Generalized Laplace Decomposition Method

Advances in Mathematical Physics | Vol. 2022 | Issue 2 | 2022

DOI: https://doi.org/10.1155/2022/3586802

Solution of partial differential equations by new double integral transform (Laplace - Sumudu transform)

Ain Shams Engineering Journal | Vol. 12 | Issue 4 | 2021

DOI: https://doi.org/10.1016/j.asej.2021.02.032

A New Solution of Time-Fractional Coupled KdV Equation by Using Natural Decomposition Method

abstract and applied analysis | Vol. 2020 | 2020

DOI: https://doi.org/10.1155/2020/3950816

A New Efficient Method for Solving Two-Dimensional Nonlinear System of Burger?s Differential Equations

abstract and applied analysis | 2020

DOI: https://doi.org/10.1155/2020/7413859