[HTML][HTML] Existence of solutions for hybrid modified ABC-fractional differential equations with p-Laplacian operator and an application to a waterborne disease model

H Khan, J Alzabut, H Gulzar - Alexandria Engineering Journal, 2023 - Elsevier
In this article, we investigate some necessary and sufficient conditions required for the
existence of solutions for modified ABC-fractional differential equations (mAB-FDEs) with p …

Existence of solutions and a numerical scheme for a generalized hybrid class of n-coupled modified ABC-fractional differential equations with an application

H Khan, J Alzabut, D Baleanu, G Alobaidi, MU Rehman - 2023 - earsiv.cankaya.edu.tr
In this article, we investigate some necessary and sufficient conditions required for the
existence of solutions for mABC-fractional differential equations (mABC-FDEs) with initial …

A generalized coupled system of fractional differential equations with application to finite time sliding mode control for Leukemia therapy

H Khan, S Ahmed, J Alzabut, AT Azar - Chaos, Solitons & Fractals, 2023 - Elsevier
In this article, a general nonlinear system of functional differential equations for two types of
operators is considered. One of them includes RD β i which are n-operators in the Riemann …

Generalized UH-stability of a nonlinear fractional coupling -Laplacian system concerned with nonsingular Atangana–Baleanu fractional calculus

K Zhao - Journal of Inequalities and Applications, 2023 - Springer
The classical p-Laplace equation is one of the special and significant second-order ODEs.
The fractional-order p-Laplace ODE is an important generalization. In this paper, we mainly …

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 …

Solution of fractional sawada–kotera–ito equation using caputo and atangana–baleanu derivatives

SR Khirsariya, SB Rao - Mathematical Methods in the Applied …, 2023 - Wiley Online Library
In the present work, the fractional‐order Sawada–Kotera–Ito problem is solved by
considering nonlocal Caputo and nonsingular Atangana–Baleanu (ABC) derivatives. The …

[PDF][PDF] On ABC coupled Langevin fractional differential equations constrained by Perov's fixed point in generalized Banach spaces

A Boutiara, MM Matar, J Alzabut, ME Samei, H Khan - AIMS Math, 2023 - researchgate.net
Nonlinear differential equations are widely used in everyday scientific and engineering
dynamics. Problems involving differential equations of fractional order with initial and phase …

Coupled system of three sequential Caputo fractional differential equations: Existence and stability analysis

AH Ganie, M Houas, MM AlBaidani… - … Methods in the …, 2023 - Wiley Online Library
Recently, many studies on fractional coupled systems involving different sequential
fractional derivatives have appeared during the past several years. The paper is dealing …

An analysis concerning to the existence of mild solution for Hilfer fractional neutral evolution system on infinite interval

M Mohan Raja, V Vijayakumar… - … Methods in the Applied …, 2023 - Wiley Online Library
In this article, we focus on the new class of neutral Hilfer fractional differential equations on
infinite interval in Banach space. The results are obtained with the help of the theory of …

[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 …