[HTML][HTML] The numerical investigation of a fractional-order multi-dimensional Model of Navier–Stokes equation via novel techniques

S Mukhtar, R Shah, S Noor - Symmetry, 2022 - mdpi.com
In this study, numerical results of a fractional-order multi-dimensional model of the Navier–
Stokes equations will be achieved via adoption of two analytical methods, ie, the Adomian …

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 …

[HTML][HTML] 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 …

[HTML][HTML] A powerful approach for fractional Drinfeld–Sokolov–Wilson equation with Mittag-Leffler law

W Gao, P Veeresha, DG Prakasha… - Alexandria Engineering …, 2019 - Elsevier
The pivotal aim of the present work is to find the solution for fractional Drinfeld–Sokolov–
Wilson equation using q-homotopy analysis transform method (q-HATM). The proposed …

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 …

Solution for fractional Zakharov–Kuznetsov equations by using two reliable techniques

P Veeresha, DG Prakasha - Chinese Journal of Physics, 2019 - Elsevier
In this paper, the approximated analytical solutions for nonlinear dispersive fractional
Zakharov-Kuznetsov (FZK (a, b, c)) equations are obtained with the help of two novel …

An efficient technique for nonlinear time-fractional Klein–Fock–Gordon equation

P Veeresha, DG Prakasha, D Kumar - Applied Mathematics and …, 2020 - Elsevier
In this article, the q-homotopy analysis transform method (q-HATM) is hired to find the
solution for the time-fractional Klein–Fock–Gordon (FKFG) equation. The FKFG equation …

An efficient analytical approach for fractional Lakshmanan‐Porsezian‐Daniel model

P Veeresha, DG Prakasha… - … Methods in the …, 2020 - Wiley Online Library
In this paper, the q‐homotopy analysis transform method (q‐HATM) is applied to find the
solution for the fractional Lakshmanan‐Porsezian‐Daniel (LPD) model. The LPD model is …

[PDF][PDF] Comparison of two modified analytical approaches for the systems of time fractional partial differential equations

AA Alderremy, R Shah, NA Shah, S Aly, K Nonlaopon - AIMS Math, 2023 - aimspress.com
The aim of this article is to present a comparison of two analytical approaches toward
obtaining the solution of the time-fractional system of partial differential equations. The newly …

Novel analysis of nonlinear seventh-order fractional Kaup–Kupershmidt equation via the Caputo operator

AH Ganie, S Mallik, MM AlBaidani, A Khan… - Boundary Value …, 2024 - Springer
In this work, we use two unique methodologies, the homotopy perturbation transform method
and Yang transform decomposition method, to solve the fractional nonlinear seventh-order …