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 …
fractional differential models arising from physics and engineering. This algorithm employs …
Iterative methods for solving fourth‐and sixth‐order time‐fractional Cahn‐Hillard equation
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 …
(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 …
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
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 …
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
In this work, the fractional novel analytic method (FNAM) is successfully implemented on
some well-known, strongly nonlinear fractional partial differential equations (NFPDEs), and …
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 …
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
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 for solving linear and nonlinear partial differential equations with …
Variational iteration method combined with new transform to solve fractional partial differential equations
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 …
method to solve linear and nonlinear fractional partial differential equations. Some …
[PDF][PDF] Stability analysis of a damped nonlinear wave equation
The current manuscript is concerned with extracting an analytical approximate periodic
solution of a damped cubic nonlinear Klein-Gordon equation. The Riemann-Liouville …
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
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 …
nonlinear Klein-Gordon equation subject to initial and boundary conditions. By this method …