Exact solutions of the generalized multidimensional mathematical physics models via sub-equation method

L Akinyemi, M Şenol, OS Iyiola - Mathematics and Computers in Simulation, 2021 - Elsevier
In this paper, our focus is on the multidimensional mathematical physics models. We employ
the sub-equation method to obtain new exact solutions to the proposed strongly nonlinear …

Fractional view analysis of Kuramoto–Sivashinsky equations with non-singular kernel operators

A Saad Alshehry, M Imran, A Khan, R Shah, W Weera - Symmetry, 2022 - mdpi.com
In this article, we investigate the nonlinear model describing the various physical and
chemical phenomena named the Kuramoto–Sivashinsky equation. We implemented the …

Exact and approximate solutions of time‐fractional models arising from physics via Shehu transform

L Akinyemi, OS Iyiola - Mathematical Methods in the Applied …, 2020 - Wiley Online Library
In this present investigation, we proposed a reliable and new algorithm for solving time‐
fractional differential models arising from physics and engineering. This algorithm employs …

New numerical results for the time-fractional Phi-four equation using a novel analytical approach

W Gao, P Veeresha, DG Prakasha, HM Baskonus… - Symmetry, 2020 - mdpi.com
This manuscript investigates the fractional Phi-four equation by using q-homotopy analysis
transform method (q-HATM) numerically. The Phi-four equation is obtained from one of the …

Use of optimal control in studying the dynamical behaviors of fractional financial awareness models

AMS Mahdy, K Lotfy, AA El-Bary - Soft Computing, 2022 - Springer
Around there, we new examination has been done on past investigations of perhaps the
main numerical models that portray the worldwide monetary development and that is …

Regarding new numerical solution of fractional Schistosomiasis disease arising in biological phenomena

P Veeresha, HM Baskonus, DG Prakasha, W Gao… - Chaos, Solitons & …, 2020 - Elsevier
In this paper, we study to find the numerical solution of fractional Schistosomiasis disease by
using a numerical method. Fractional Schistosomiasis disease model is used to symbolize a …

Numerical investigation of time-fractional phi-four equation via novel transform

NK Mishra, MM AlBaidani, A Khan, AH Ganie - Symmetry, 2023 - mdpi.com
This paper examines two methods for solving the nonlinear fractional Phi-four problem with
variable coefficients. One of the distinct states of the Klein–Gordon model yields the Phi-four …

Impact of the same degenerate additive noise on a coupled system of fractional space diffusion equations

WW Mohammed, N Iqbal - Fractals, 2022 - World Scientific
In this paper, we present a class of stochastic system of fractional space diffusion equations
forced by additive noise. Our goal here is to approximate the solutions of this system via a …

A fractional analysis of Noyes–Field model for the nonlinear Belousov–Zhabotinsky reaction

L Akinyemi - Computational and Applied Mathematics, 2020 - Springer
Nonlinear phenomena play an essential role in various field of natural sciences and
engineering. In particular, the nonlinear chemical reactions are observed in various …

[HTML][HTML] A hybrid fractional optimal control for a novel Coronavirus (2019-nCov) mathematical model

NH Sweilam, SM Al-Mekhlafi, D Baleanu - Journal of advanced research, 2021 - Elsevier
Introduction Coronavirus COVID-19 pandemic is the defining global health crisis of our time
and the greatest challenge we have faced since world war two. To describe this disease …