On fractal-fractional waterborne disease model: A study on theoretical and numerical aspects of solutions via simulations

H Khan, J Alzabut, A Shah, ZY He, S Etemad… - Fractals, 2023 - World Scientific
Waterborne diseases are illnesses caused by pathogenic bacteria that spread through water
and have a negative influence on human health. Due to the involvement of most countries in …

A case study of fractal-fractional tuberculosis model in China: Existence and stability theories along with numerical simulations

H Khan, K Alam, H Gulzar, S Etemad… - … and Computers in …, 2022 - Elsevier
In this article, a fractal-fractional order tuberculosis mathematical model is presented for the
existence results, numerical simulations and stability analysis. The model has six classes S …

[HTML][HTML] On the fractal-fractional Mittag-Leffler model of a COVID-19 and Zika Co-infection

S Rezapour, JKK Asamoah, S Etemad, A Akgül, İ Avcı… - Results in Physics, 2023 - Elsevier
Abstract The World Health Organization declared COVID-19 a global pandemic in March
2020, which had a significant impact on global health and economies. There have been …

A Study on Dynamics of CD4+ T-Cells under the Effect of HIV-1 Infection Based on a Mathematical Fractal-Fractional Model via the Adams-Bashforth Scheme and …

H Najafi, S Etemad, N Patanarapeelert, JKK Asamoah… - Mathematics, 2022 - mdpi.com
In recent decades, AIDS has been one of the main challenges facing the medical community
around the world. Due to the large human deaths of this disease, researchers have tried to …

Study of a sequential -Hilfer fractional integro-differential equations with nonlocal BCs

F Haddouchi, ME Samei, S Rezapour - Journal of Pseudo-Differential …, 2023 - Springer
This paper deals with the existence and uniqueness of solutions for a nonlinear boundary
value problem involving a sequential ψ-Hilfer fractional integro-differential equations with …

HU-type stability and numerical solutions for a nonlinear model of the coupled systems of Navier BVPs via the generalized differential transform method

S Rezapour, B Tellab, CT Deressa, S Etemad… - Fractal and …, 2021 - mdpi.com
This paper is devoted to generalizing the standard system of Navier boundary value
problems to a fractional system of coupled sequential Navier boundary value problems by …

A theoretical analysis of a fractional multi-dimensional system of boundary value problems on the methylpropane graph via fixed point technique

S Rezapour, CT Deressa, A Hussain, S Etemad… - Mathematics, 2022 - mdpi.com
Few studies have investigated the existence and uniqueness of solutions for fractional
differential equations on star graphs until now. The published papers on the topic are based …

Qualitative study on solutions of a Hadamard variable order boundary problem via the Ulam–Hyers–Rassias stability

A Benkerrouche, MS Souid, S Etemad, A Hakem… - Fractal and …, 2021 - mdpi.com
In this paper, the existence, uniqueness and stability of solutions to a boundary value
problem of nonlinear FDEs of variable order are established. To do this, we first investigate …

[PDF][PDF] A novel analytical Aboodh residual power series method for solving linear and nonlinear time-fractional partial differential equations with variable coefficients

MI Liaqat, S Etemad, S Rezapour, C Park - Aims Math, 2022 - researchgate.net
The goal of this research is to develop a novel analytic technique for obtaining the
approximate and exact solutions of the Caputo time-fractional partial differential equations …

A study on the fractal-fractional tobacco smoking model

H Khan, J Alzabut, A Shah, S Etemad… - AIMS …, 2022 - scholarworks.bwise.kr
In this article, we consider a fractal-fractional tobacco mathematical model with generalized
kernels of Mittag-Leffler functions for qualitative and numerical studies. From qualitative …