Adapting the Laplace transform to create solitary solutions for the nonlinear time-fractional dispersive PDEs via a new approach
A El-Ajou - The European Physical Journal Plus, 2021 - Springer
It is known that the Laplace transform method is used to solve only a finite class of linear
differential equations. In this paper, we suggest a new method that relies on a new fractional …
differential equations. In this paper, we suggest a new method that relies on a new fractional …
[HTML][HTML] A new efficient technique using Laplace transforms and smooth expansions to construct a series solution to the time-fractional Navier-Stokes equations
In this article, we introduce a new technique to create a series solution to the time-fractional
Navier-Stokes equations is using a combination of the Laplace Transform with the residual …
Navier-Stokes equations is using a combination of the Laplace Transform with the residual …
[HTML][HTML] ARA-residual power series method for solving partial fractional differential equations
In this article a new approach in solving time fractional partial differential equations
(TFPDEs) is introduced, that is, the ARA-residual power series method. The main idea of this …
(TFPDEs) is introduced, that is, the ARA-residual power series method. The main idea of this …
Forecasting the behavior of fractional order Bloch equations appearing in NMR flow via a hybrid computational technique
In this paper, we present an efficient computational approach named as Sumudu residual
power series method (SRPSM) to solve fractional Bloch equations appearing in an NMR …
power series method (SRPSM) to solve fractional Bloch equations appearing in an NMR …
[HTML][HTML] Promoted residual power series technique with Laplace transform to solve some time-fractional problems arising in physics
Physical applications involving time-fractional derivatives are reflecting some memory
characteristics. These inherited memories have been identified as a homotopy mapping of …
characteristics. These inherited memories have been identified as a homotopy mapping of …
[HTML][HTML] Reliable solutions to fractional Lane-Emden equations via Laplace transform and residual error function
In this paper, a reliable analytical solution for a class of the fractional Lane-Emden equations
is prepared. A new technique, the Laplace-residual power series, is employed to construct a …
is prepared. A new technique, the Laplace-residual power series, is employed to construct a …
On the analytical solution of fractional SIR epidemic model
This article presents the solution of the fractional SIR epidemic model using the Laplace
residual power series method. We introduce the fractional SIR model in the sense of …
residual power series method. We introduce the fractional SIR model in the sense of …
Application of ARA‐Residual Power Series Method in Solving Systems of Fractional Differential Equations
In this research, systems of linear and nonlinear differential equations of fractional order are
solved analytically using the novel interesting method: ARA‐Residual Power Series (ARA …
solved analytically using the novel interesting method: ARA‐Residual Power Series (ARA …
A new approach using integral transform to solve cancer models
The objective of this work is to investigate analytical solutions of some models of cancer
tumors using the Laplace residual power series method (LRPSM). The proposed method …
tumors using the Laplace residual power series method (LRPSM). The proposed method …
Fractional series solution construction for nonlinear fractional reaction-diffusion Brusselator model utilizing Laplace residual power series
This article investigates different nonlinear systems of fractional partial differential equations
analytically using an attractive modified method known as the Laplace residual power series …
analytically using an attractive modified method known as the Laplace residual power series …