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] Analytical solutions of conformable Drinfel'd–Sokolov–Wilson and Boiti Leon Pempinelli equations via sine–cosine method
In this paper, we studied the Drinfel'd–Sokolov–Wilson equation (DSWE) and Boiti Leon
Pempinelli equation (BLPE) in the conformable sense. The sine–cosine method is utilized to …
Pempinelli equation (BLPE) in the conformable sense. The sine–cosine method is utilized to …
A new attractive analytic approach for solutions of linear and nonlinear neutral fractional pantograph equations
In this paper, we present analytical solutions for linear and nonlinear neutral Caputo-
fractional pantograph differential equations. An attractive new method we called the Laplace …
fractional pantograph differential equations. An attractive new method we called the Laplace …
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 …
On the shock wave approximation to fractional generalized Burger–Fisher equations using the residual power series transform method
The time-fractional generalized Burger–Fisher equation (TF-GBFE) has various applications
across various scientific and engineering disciplines. It is used for investigating various …
across various scientific and engineering disciplines. It is used for investigating various …
A novel numerical approach in solving fractional neutral pantograph equations via the ARA integral transform
In this article, a new, attractive method is used to solve fractional neutral pantograph
equations (FNPEs). The proposed method, the ARA-Residual Power Series Method (ARA …
equations (FNPEs). The proposed method, the ARA-Residual Power Series Method (ARA …
Construction of fractional series solutions to nonlinear fractional reaction–diffusion for bacteria growth model via Laplace residual power series method
In this paper, a new Laplace residual power series (LRPS) algorithm has been constructed
to yield approximate series solutions (ASSs) of the nonlinear fractional differential system …
to yield approximate series solutions (ASSs) of the nonlinear fractional differential system …
Laplace-residual power series method for solving time-fractional reaction–diffusion model
Despite the fact the Laplace transform has an appreciable efficiency in solving many
equations, it cannot be employed to nonlinear equations of any type. This paper presents a …
equations, it cannot be employed to nonlinear equations of any type. This paper presents a …
[HTML][HTML] Numerical analysis of a fractional nonlinear oscillator with coordinate-dependent mass
J Lu, L Ma - Results in Physics, 2022 - Elsevier
In this paper, we propose a combined technique for solving the fractional modification of the
nonlinear oscillator with coordinate-dependent mass. It is an efficient method based on the …
nonlinear oscillator with coordinate-dependent mass. It is an efficient method based on the …