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 …
Numerical approach in the Hilbert space to solve a fuzzy Atangana-Baleanu fractional hybrid system
The pivotal aim of this paper is to investigate analytical and numerical solutions of fractional
fuzzy hybrid system in Hilbert space. Such fuzzy systems are devoted to model control …
fuzzy hybrid system in Hilbert space. Such fuzzy systems are devoted to model control …
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 …
Solitary solutions for time-fractional nonlinear dispersive PDEs in the sense of conformable fractional derivative
In this paper, the time-fractional nonlinear dispersive (TFND) partial differential equations
(PDEs) in the sense of conformable fractional derivative (CFD) are proposed and analyzed …
(PDEs) in the sense of conformable fractional derivative (CFD) are proposed and analyzed …
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 …
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 …
[HTML][HTML] Series solutions for nonlinear time-fractional Schrödinger equations: Comparisons between conformable and Caputo derivatives
In the present paper, we present the exact analytical solution of the time-fractional
Schrödinger equation (TFSE) in the sense of conformable fractional derivative (Co-FD) …
Schrödinger equation (TFSE) in the sense of conformable fractional derivative (Co-FD) …
Chebyshev spectral methods for multi-order fractional neutral pantograph equations
This paper is concerned with the application of the spectral tau and collocation methods to
delay multi-order fractional differential equations with vanishing delay rx (0< r< 1). The …
delay multi-order fractional differential equations with vanishing delay rx (0< r< 1). The …