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 …

[HTML][HTML] Existence, uniqueness and synchronization of a fractional tumor growth model in discrete time with numerical results

J Alzabut, R Dhineshbabu, AGM Selvam… - Results in Physics, 2023 - Elsevier
A mathematical model of discrete fractional equations with initial condition is constructed to
study the tumor-immune interactions in this research. The model is a system of two nonlinear …

Nonlinear dynamics of a piecewise modified ABC fractional-order leukemia model with symmetric numerical simulations

H Khan, J Alzabut, WF Alfwzan, H Gulzar - Symmetry, 2023 - mdpi.com
In this study, we introduce a nonlinear leukemia dynamical system for a piecewise modified
ABC fractional-order derivative and analyze it for the theoretical as well computational works …

On non-Newtonian fluid flow generated via complex metachronal waves of cilia with magnetic, hall, and porous effects

Z Asghar, MWS Khan, AA Pasha, MM Rahman… - Physics of …, 2023 - pubs.aip.org
Cilia beating influences bio-fluid flow, and conduits with ciliated surfaces serve numerous
purposes. Cilia are hair-like adjuncts that produce liquid drive and cell locomotion. This …

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 …

Existence and uniqueness theorems for a variable-order fractional differential equation with delay

B Telli, MS Souid, J Alzabut, H Khan - Axioms, 2023 - mdpi.com
This study establishes the existence and stability of solutions for a general class of Riemann–
Liouville (RL) fractional differential equations (FDEs) with a variable order and finite delay …

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 …

Computational study of flow and heat transfer analysis of Ellis fluid model in complicated divergent channel

Z Asghar, U Khalid, M Nazeer, HS Rasheed… - … Physics Letters B, 2024 - World Scientific
The current theoretical analysis reports the flow and heat transfer rate in the peristaltic flow
of an Ellis fluid through the complex wavy divergent channel under the impact of the electro …

Enhancing motility of micro-swimmers via electric and dynamical interaction effects

Z Asghar - The European Physical Journal Plus, 2023 - Springer
The purpose of this article is to discuss the motion of five different undulating swimming
sheets assisted by an electric field and dynamical interactions. The sine or cosine wavy …