Regarding new positive, bounded and convergent numerical solution of nonlinear time fractional HIV/AIDS transmission model

M Goyal, HM Baskonus, A Prakash - Chaos, Solitons & Fractals, 2020 - Elsevier
HIV/AIDS is a lethal disease that breaks down immune system of a human body making the
victim susceptible to life threatening infections, unusual malignancies or neurological …

An efficient technique for a time fractional model of lassa hemorrhagic fever spreading in pregnant women

M Goyal, HM Baskonus, A Prakash - The European Physical …, 2019 - epjplus.epj.org
Lassa hemorrhagic fever is a lethal and transmissible disease, whose outbreaks were first
witnessed in Central Africa Republic, Liberia, Nigeria, Guinea and Sierra Leone. This deadly …

[HTML][HTML] Two efficient numerical techniques for solutions of fractional shallow water equation

M Izadi, SK Yadav, G Methi - Partial Differential Equations in Applied …, 2024 - Elsevier
In this paper, the nonlinear shallow water equation appears in the mathematical modeling of
tsunami wave propagation along the coastline of an ocean is solved numerically. The model …

[PDF][PDF] A reliable hybrid numerical method for a time dependent vibration model of arbitrary order

A Prakash, M Goyal, HM Baskonus, S Gupta - Aims Math, 2020 - aimspress.com
In this article, the solution of vibration equation of fractional order is found numerically for the
large membranes using a powerful technique namely q-homotopy analysis Sumudu …

An efficient computational approach for fractional-order model describing the water transport in unsaturated porous media

Y Wang, W Gao, HM Baskonus - Modern Physics Letters B, 2023 - World Scientific
This paper focuses on the application of an efficient technique, namely, the fractional natural
decomposition method (FNDM). The numerical solutions of the model containing the water …

[PDF][PDF] Analysis of local fractional coupled Helmholtz and coupled Burgers' equations in fractal media

VP Dubey, J Singh, AM Alshehri, S Dubey, D Kumar - AIMS Math, 2022 - aimspress.com
Analysis of local fractional coupled Helmholtz and coupled Burgers’ equations in fractal media
Page 1 AIMS Mathematics, 7(5): 8080–8111. DOI: 10.3934/math.2022450 Received: 02 …

An efficient perturbation Sumudu transform technique for the time-fractional vibration equation with a memory dependent fractional derivative in Liouville–Caputo …

M Goyal, A Prakash, S Gupta - International Journal of Applied and …, 2021 - Springer
The solution of a time-fractional vibration equation is obtained for the large membranes
using powerful homotopy perturbation technique via Sumudu transform. The fractional …

An efficient approach for solution of fractional-order Helmholtz equations

NA Shah, ER El-Zahar, MD Aljoufi… - Advances in Difference …, 2021 - Springer
In this article, a hybrid technique called the homotopy perturbation Elzaki transform method
has been implemented to solve fractional-order Helmholtz equations. In the hybrid …

High-order compact scheme for the two-dimensional fractional Rayleigh–Stokes problem for a heated generalized second-grade fluid

MA Khan, NHM Ali - Advances in Difference Equations, 2020 - Springer
In this article, an unconditionally stable compact high-order iterative finite difference scheme
is developed on solving the two-dimensional fractional Rayleigh–Stokes equation. A …

New multi-hump exact solitons of a coupled Korteweg-de-Vries system with conformable derivative describing shallow water waves via RCAM

PK Das - Physica Scripta, 2020 - iopscience.iop.org
In this article, a modification of the rapidly convergent approximation method is proposed to
solve a coupled Korteweg–de Vries equations with conformable derivative that govern …