Analytical approximate solutions of systems of fractional algebraic–differential equations by homotopy analysis method

Mohammad Zurigat; Shaher Momani; Ahmad Alawneh

doi:10.1016/j.camwa.2009.07.002

$Analytical approximate solutions of systems of fractional algebraic–differential equations by homotopy analysis method$

Journal article

Peer reviewed

Analytical approximate solutions of systems of fractional algebraic–differential equations by homotopy analysis method

Mohammad Zurigat, Shaher Momani and Ahmad Alawneh

Computers & mathematics with applications (1987), Vol.59(3), pp.1227-1235

01/02/2010

DOI: https://doi.org/10.1016/j.camwa.2009.07.002

Abstract

Fractional differential equation

Homotopy analysis method

Systems of fractional algebraic–differential equations

In this paper, we develop a framework to obtain approximate solutions to systems of algebraic–differential equations of fractional order by employing the homotopy analysis method (HAM). The study highlights the efficiency of the method and its dependence on the auxiliary parameter ħ . Numerical examples are examined to highlight the significant features of the HAM method. The method shows improvements over existing analytical techniques

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Title: Analytical approximate solutions of systems of fractional algebraic–differential equations by homotopy analysis method
Creators - without role: Mohammad Zurigat - University of Jordan
Shaher Momani - Mutah University
Ahmad Alawneh - University of Jordan
Publication Details: Computers & mathematics with applications (1987), Vol.59(3), pp.1227-1235
Publisher: Elsevier Ltd
Identifiers: 9936148408331
Academic Unit: King Abdulaziz University
Language: English
Resource Type: Journal article