On system of variable order nonlinear p-Laplacian fractional differential equations with biological application

H Khan, J Alzabut, H Gulzar, O Tunç, S Pinelas - Mathematics, 2023 - mdpi.com
The study of variable order differential equations is important in science and engineering for
a better representation and analysis of dynamical problems. In the literature, there are …

Study of impulsive problems under Mittag-Leffler power law

MS Abdo, T Abdeljawad, K Shah, F Jarad - Heliyon, 2020 - cell.com
This article is fundamentally concerned with deriving the solution formula, existence, and
uniqueness of solutions of two types of Cauchy problems for impulsive fractional differential …

Stabilization of impulsive fractional-order dynamic systems involving the Caputo fractional derivative of variable-order via a linear feedback controller

TM Duc, N Van Hoa - Chaos, Solitons & Fractals, 2021 - Elsevier
This paper investigates the stability and stabilization problem of variable-order fractional
nonlinear dynamic systems with impulsive effects (VO-IFNDS) via a linear feedback …

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 …

Analysis of a Hybrid Coupled System of ψ-Caputo Fractional Derivatives with Generalized Slit-Strips-Type Integral Boundary Conditions and Impulses

Z Lv, I Ahmad, J Xu, A Zada - fractal and fractional, 2022 - mdpi.com
In the current paper, we analyzed the existence and uniqueness of a solution for a coupled
system of impulsive hybrid fractional differential equations involving ψ-Caputo fractional …

[HTML][HTML] A nonlinear perturbed coupled system with an application to chaos attractor

H Khan, J Alzabut, JF Gómez-Aguilar, WF Alfwzan - Results in Physics, 2023 - Elsevier
In this paper, a general system of quadratically perturbed system of modified fractional
differential equations (FDEs) is considered for the solution existence, solution uniqueness …

A Coupled System of Caputo–Hadamard Fractional Hybrid Differential Equations with Three‐Point Boundary Conditions

M Arab, M Awadalla - Mathematical Problems in Engineering, 2022 - Wiley Online Library
This article presents a study of the existence and uniqueness of solutions for a system of
hybrid fractional differential equations involving fractional derivatives of the Caputo …

[PDF][PDF] Existence and data dependence results for neutral fractional order integro-differential equations

V Vijayaraj, C Ravichandran, T Botmart, KS Nisar… - AIMS …, 2023 - aimspress.com
We assess the multi-derivative nonlinear neutral fractional order integro-differential
equations with Atangana-Baleanu fractional derivative of the Riemann-Liouville sense. We …

Existence and stability for a nonlinear hybrid differential equation of fractional order via regular Mittag–Leffler kernel

I Slimane, Z Dahmani, JJ Nieto… - … Methods in the Applied …, 2023 - Wiley Online Library
This paper deals with a nonlinear hybrid differential equation written using a fractional
derivative with a Mittag–Leffler kernel. Firstly, we establish the existence of solutions to the …

Nonlocal Hybrid Integro‐Differential Equations Involving Atangana–Baleanu Fractional Operators

S Alshammari, M Alshammari… - Journal of …, 2023 - Wiley Online Library
In this study, we develop a theory for the nonlocal hybrid boundary value problem for the
fractional integro‐differential equations featuring Atangana–Baleanu derivatives. The …