A method for obtaining the operational matrix of fractional Jacobi functions and applications-Reference-Cited by-同舟云学术

A method for obtaining the operational matrix of fractional Jacobi functions and applications

Published:2012-11-28 Issue:5 Volume:20 Page:736-748
ISSN:1077-5463
Container-title:Journal of Vibration and Control
language:en
Short-container-title:Journal of Vibration and Control

Author:

Kayedi-Bardeh Amin¹,Eslahchi MR¹,Dehghan Mehdi²

Affiliation:

1. Department of Applied Mathematics, Tarbiat Modares University, Iran

2. Department of Applied Mathematics, Amirkabir University of Technology, Iran

Abstract

In this paper we first introduce fractional orthogonal Jacobi functions then we obtain a new fractional derivative operational matrix for these orthogonal functions. It is based on the relationship between the coefficients of the fractional Taylor series and fractional Jacobi function expansions. We also apply this new operational matrix to the collocation method for solving general multi-order fractional differential equations (FDEs) and nonlinear fractional integro–differential equations (FIDEs). We also present several test problems. The numerical results show that our new scheme is very effective and convenient for solving FDEs and FIDEs.

Publisher

SAGE Publications

Subject

Mechanical Engineering,Mechanics of Materials,Aerospace Engineering,Automotive Engineering,General Materials Science

Link

http://journals.sagepub.com/doi/pdf/10.1177/1077546312467049

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