Assessing the impact of SARS-CoV-2 infection on the dynamics of dengue and HIV via fractional derivatives

A Omame, M Abbas, AH Abdel-Aty - Chaos, Solitons & Fractals, 2022 - Elsevier
A new non-integer order mathematical model for SARS-CoV-2, Dengue and HIV co-
dynamics is designed and studied. The impact of SARS-CoV-2 infection on the dynamics of …

Laplace decomposition for solving nonlinear system of fractional order partial differential equations

H Khan, R Shah, P Kumam, D Baleanu… - Advances in Difference …, 2020 - Springer
In the present article a modified decomposition method is implemented to solve systems of
partial differential equations of fractional-order derivatives. The derivatives of fractional-order …

Short overview of early developments of the Hardy Cross type methods for computation of flow distribution in pipe networks

D Brkić, P Praks - Applied Sciences, 2019 - mdpi.com
Hardy Cross originally proposed a method for analysis of flow in networks of conduits or
conductors in 1936. His method was the first really useful engineering method in the field of …

Novel analysis of the fractional-order system of non-linear partial differential equations with the exponential-decay kernel

M Alesemi, N Iqbal, T Botmart - Mathematics, 2022 - mdpi.com
This article presents a homotopy perturbation transform method and a variational iterative
transform method for analyzing the fractional-order non-linear system of the unsteady flow of …

[PDF][PDF] A numerical solution of nonlinear fractional newell-whitehead-segel equation using natural transform

M Nadeem, JH He, CH He, HM Sedighi… - TWMS J. Pure Appl …, 2022 - researchgate.net
In this paper, we develop an accurate and efficient natural transform homotopy perturbation
method for obtaining the numerical solution of nonlinear fractional Newell-Whitehead-Segel …

[HTML][HTML] A fractional order model for the co-interaction of COVID-19 and Hepatitis B virus

A Omame, M Abbas, CP Onyenegecha - Results in Physics, 2022 - Elsevier
Fractional differential equations are beginning to gain widespread usage in modeling
physical and biological processes. It is worth mentioning that the standard mathematical …

Exploring soliton solutions in nonlinear spatiotemporal fractional quantum mechanics equations: an analytical study

R Ali, Z Zhang, H Ahmad - Optical and Quantum Electronics, 2024 - Springer
In this work, travelling wave solutions of a nonlinear system of fractional Schrödinger
equations (FSEs) with conformable fractional derivatives are studied. We examine the …

Novel investigation of fractional‐order Cauchy‐reaction diffusion equation involving Caputo‐Fabrizio operator

M Alesemi, N Iqbal, MS Abdo - Journal of Function Spaces, 2022 - Wiley Online Library
In this article, the new iterative transform technique and homotopy perturbation transform
method are applied to calculate the fractional‐order Cauchy‐reaction diffusion equation …

Analytic simulation of the synergy of spatial-temporal memory indices with proportional time delay

I Jaradat, M Alquran, TA Sulaiman, A Yusuf - Chaos, Solitons & Fractals, 2022 - Elsevier
In the present work, three space-time trace parameters are appended to physical systems to
analytically outline their mutual impact and to characterize the dynamic behaviors of these …

Analytical solutions of (2+ time fractional order) dimensional physical models, using modified decomposition method

H Khan, U Farooq, R Shah, D Baleanu, P Kumam… - Applied Sciences, 2019 - mdpi.com
In this article, a new analytical technique based on an innovative transformation is used to
solve (2+ time fractional-order) dimensional physical models. The proposed method is the …