Computational analysis of the third order dispersive fractional PDE under exponential-decay and Mittag-Leffler type kernels

[ X ]

Date

2023

Journal Title

Journal ISSN

Volume Title

Publisher

Wiley

Access Rights

info:eu-repo/semantics/closedAccess

Abstract

This article aims to investigate the fractional dispersive partial differential equations (FPDEs) under non-singular and non-local kernels. First, we study the fractional dispersive equations under the Caputo-Fabrizio fractional derivative in one and higher dimension. Second, we investigate the same equations under the Atangana-Baleanu derivative. The Laplace transform has an excellent convergence rate for the exact solution as compared to the other analytical methods. Therefore, we use Laplace transform to obtain the series solution of the proposed equations. We provide two examples of each equation to confirm the validity of the proposed scheme. The results and simulations of examples show higher convergence of the fractional-order solution to the integer-order solution. In the end, we provide the conclusion and physical interpretation of the figures.

Description

Keywords

Atangana? Baleanu derivative, Caputo? Fabrizio derivative, dispersive PDE, Laplace transform

Journal or Series

Numerical Methods For Partial Differential Equations

WoS Q Value

Q1

Scopus Q Value

Q1

Volume

39

Issue

6

Citation