Residual power series method for the time fractional Fornberg-Whitham equation
type: Item
instance of: scholarly article
title: Residual power series method for the time fractional Fornberg-Whitham equation
zbMATH Open document ID: 1482.35261
DOI: 10.1504/IJDSDE.2020.112761
author: Jianke Zhang
author: Luyang Yin
published in: International Journal of Dynamical Systems and Differential Equations
publication date: 2022-03-14T00:00:00Z
review text: Summary: The purpose of this paper is to solve the time fractional Fornberg-Whitham equation by the residual power series method, where the fractional derivatives are in Caputo sense. According to the definition of generalised fractional power series, the solutions of the fractional differential equations are approximatively expanded and substituted into the differential equations. The coefficients to be determined in the approximate solutions are calculated according to the residual functions and the initial conditions, and the approximate analytical solutions of the equations can be obtained. Finally, the approximate analytical solutions are compared with the exact solutions. The results show that the residual power series method is convenient and effective for solving the time fractional Fornberg-Whitham equation.
Mathematics Subject Classification ID: 35R11
Mathematics Subject Classification ID: 34A08
Mathematics Subject Classification ID: 35A35
Mathematics Subject Classification ID: 26A33
zbMATH DE Number: 7488859
zbMATH Keywords: residual power series method
zbMATH Keywords: time-fractional Fornberg-Whitham equation
zbMATH Keywords: Caputo derivative
Wikidata QID: Q115237417
MaRDI profile type: Publication
full work available at URL: ijdsde.2020.112761
OpenAlex ID: W4254158987
description: scientific article; zbMATH DE number 7488859