[HTML][HTML] Solving systems of coupled nonlinear Atangana–Baleanu-type fractional differential equations

HA Hammad, M Zayed - Boundary Value Problems, 2022 - Springer
In this work, we investigate two types of boundary value problems for a system of coupled
Atangana–Baleanu-type fractional differential equations with nonlocal boundary conditions …

Qualitative properties and approximate solutions of thermostat fractional dynamics system via a nonsingular kernel operator

MI Ayari, STM Thabet - Arab Journal of Mathematical Sciences, 2023 - emerald.com
Purpose This paper aims to study qualitative properties and approximate solutions of a
thermostat dynamics system with three-point boundary value conditions involving a …

[HTML][HTML] Efficient results on Hilfer pantograph model with nonlocal integral condition

KS Nisar - Alexandria Engineering Journal, 2023 - Elsevier
The optimistic plan of this work reveals the solvability conditions of Hilfer fractional
pantograph integrodifferential equations of type 0≤ q 2≤ 1 and order 0< q 1< 1. The …

On Implicit k-Generalized -Hilfer Fractional Differential Coupled Systems with Periodic Conditions

A Salim, M Benchohra, JE Lazreg - Qualitative Theory of Dynamical …, 2023 - Springer
This paper deals with some existence and uniqueness results for a class of nonlinear
fractional coupled systems with k-generalized ψ-Hilfer fractional differential equations and …

[PDF][PDF] Numerical solution of fractional integro-differential equations via fourth-degree hat functions

JK Mohammed, A Khudair - Iraqi Journal for Computer Science and …, 2023 - iasj.net
The goal of this paper is to construct new fourth-degree hat functions (FDHFs) and study
their properties in order to develop a new numerical method for solving fractional integro …

Controllability analysis for impulsive integro‐differential equation via Atangana–Baleanu fractional derivative

K Kaliraj, E Thilakraj, C Ravichandran… - … Methods in the …, 2021 - Wiley Online Library
Controllability analysis for impulsive integro‐differential equation via Atangana–Baleanu
fractional derivative - Kaliraj - Mathematical Methods in the Applied Sciences - Wiley Online …

[HTML][HTML] Theoretical and numerical simulations on the hepatitis B virus model through a piecewise fractional order

KA Aldwoah, MA Almalahi, K Shah - Fractal and Fractional, 2023 - mdpi.com
In this study, we introduce the dynamics of a Hepatitis B virus (HBV) model with the class of
asymptomatic carriers and conduct a comprehensive analysis to explore its theoretical …

[图书][B] Fractional differential equations: a coincidence degree approach

M Benchohra, S Bouriah, A Salim, Y Zhou - 2023 - books.google.com
This book is devoted to the existence and uniqueness results for various classes of
problems with periodic conditions. All of the problems in this book deal with fractional …

Existence results for nonlinear neutral generalized Caputo fractional differential equations

N Adjimi, A Boutiara, MS Abdo, M Benbachir - Journal of Pseudo …, 2021 - Springer
This paper is devoted to proving some existence and uniqueness of solutions to a category
of boundary value problems for a nonlinear neutral generalized Caputo fractional differential …

[HTML][HTML] Existence and uniqueness of periodic solutions for some nonlinear fractional pantograph differential equations with -Caputo derivative

S Bouriah, D Foukrach, M Benchohra… - Arabian Journal of …, 2021 - Springer
The aim of this paper is to study the existence and uniqueness of periodic solutions for a
certain type of nonlinear fractional pantograph differential equation with a ψ ψ-Caputo …