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 …

Iterative methods for solving fourth‐and sixth‐order time‐fractional Cahn‐Hillard equation

L Akinyemi, OS Iyiola, U Akpan - Mathematical Methods in the …, 2020 - Wiley Online Library
This paper presents analytical‐approximate solutions of the time‐fractional Cahn‐Hilliard
(TFCH) equations of fourth and sixth order using the new iterative method (NIM) and q …

[BOOK][B] Separation of variables and exact solutions to nonlinear PDEs

AD Polyanin, AI Zhurov - 2021 - taylorfrancis.com
Separation of Variables and Exact Solutions to Nonlinear PDEs is devoted to describing and
applying methods of generalized and functional separation of variables used to find exact …

Analysis of local fractional Klein-Gordon equations arising in relativistic fractal quantum mechanics

VP Dubey, D Kumar, J Singh, AM Alshehri… - Waves in Random and …, 2022 - Taylor & Francis
In this paper, we present the implementation of a local fractional homotopy perturbation
method pertaining to the local fractional natural transform (LFNT) operator for local fractional …

New numerical approach of solving highly nonlinear fractional partial differential equations via fractional novel analytical method

M Sultana, U Arshad, AH Abdel-Aty, A Akgül… - Fractal and …, 2022 - mdpi.com
In this work, the fractional novel analytic method (FNAM) is successfully implemented on
some well-known, strongly nonlinear fractional partial differential equations (NFPDEs), and …

Construction of functional separable solutions in implicit form for non-linear Klein–Gordon type equations with variable coefficients

AD Polyanin - International Journal of Non-Linear Mechanics, 2019 - Elsevier
The paper deals with non-linear Klein–Gordon type equations c (x) utt=[a (x) f (u) ux] x+ b (x)
g (u). The direct method for constructing functional separable solutions in implicit form to non …

A new analytical solution of Klein–Gordon equation with local fractional derivative

D Ziane, M Hamdi Cherif - Asian-European Journal of Mathematics, 2021 - World Scientific
The work presented in this paper is to combine the Sumudu transform method with a
variational iteration method for solving linear and nonlinear partial differential equations with …

Variational iteration method combined with new transform to solve fractional partial differential equations

MH Cherif, D Ziane - Universal Journal of Mathematics and …, 2018 - dergipark.org.tr
The aim of this paper is to combined the variational iteration method with Aboodh transform
method to solve linear and nonlinear fractional partial differential equations. Some …

[PDF][PDF] Stability analysis of a damped nonlinear wave equation

YO El-Dib, GM Moatimid, NS Elgazery - Journal of Applied and …, 2020 - jacm.scu.ac.ir
The current manuscript is concerned with extracting an analytical approximate periodic
solution of a damped cubic nonlinear Klein-Gordon equation. The Riemann-Liouville …

[PDF][PDF] Analytical solution of the non-linear Klein-Gordon equation using double Laplace transform and iterative method

RR Dhunde, GL Waghamare - American Journal of …, 2016 - researchgate.net
In the present paper, we couple double Laplace transform with Iterative method to solve
nonlinear Klein-Gordon equation subject to initial and boundary conditions. By this method …