A solitary wave solution to the generalized Burgers-Fisher's equation using an improved differential transform method: A hybrid scheme approach

TK Akinfe, AC Loyinmi - Heliyon, 2021 - cell.com
In this research, an unrivalled hybrid scheme which involves the coupling of the new Elzaki
integral transform (an improved version of Laplace transform) and a modified differential …

[PDF][PDF] Nonlinear analysis of a nonlinear modified KdV equation under Atangana Baleanu Caputo derivative

SA Gulalai, FA Rihan, S Ahmad, FA Rihan… - AIMS …, 2022 - aimspress.com
The focus of the current manuscript is to provide a theoretical and computational analysis of
the new nonlinear time-fractional (2+ 1)-dimensional modified KdV equation involving the …

A detailed study on a new -dimensional mKdV equation involving the Caputo–Fabrizio time-fractional derivative

K Hosseini, M Ilie, M Mirzazadeh, D Baleanu - Advances in Difference …, 2020 - Springer
The present article aims to present a comprehensive study on a nonlinear time-fractional
model involving the Caputo–Fabrizio (CF) derivative. More explicitly, a new (2+ 1) (2+1) …

The efficient techniques for non-linear fractional view analysis of the KdV equation

H Khan, Q Khan, F Tchier, G Singh, P Kumam… - Frontiers in …, 2022 - frontiersin.org
The solutions to fractional differentials equations are very difficult to investigate. In particular,
the solutions of fractional partial differential equations are challenging tasks for …

[PDF][PDF] Solving time fractional Sharma− Tasso− Olever equation using fractional complex transform with iterative method

BR Sontakke, A Shaikh - British Journal of Mathematics and …, 2016 - researchgate.net
In this paper, we consider time fractional Sharma− Tasso− Olever equation based on
Jumarie's modified Riemann-Liouville derivatives. By using fractional complex transform the …

[PDF][PDF] A mathematical fractional model of waves on Shallow water surfaces: The Korteweg-de Vries equation

M Awadalla, AH Ganie, D Fathima, A Khan… - AIMS …, 2024 - aimspress.com
The homotopy perturbation transform method was examined in the present research to
address the nonlinear time-fractional Korteweg-de Vries equations using a nonsingular …

[PDF][PDF] Fractional complex transform for approximate solution of time fractional Zakharov-Kuznetsov equation

BR Sontakke, A Shaikh, V Jadhav… - International Journal of …, 2017 - researchgate.net
914 BR Sontakke, A. Shaikh, V. Jadhav tive operator from integer order n to arbitrary order α,
where α is a real or complex value, or even more complicated a complex valued function α …

[PDF][PDF] Applications of New Iterative Method to Nonlinear Differential Equations of Fractional Order

DP Mali - RES MILITARIS, 2022 - sdsmcollege.in
In this paper, the New Iterative Method is implemented to give approximate solution for
nonlinear differential equation of fractional order involving Caputo fractional derivative. The …