Numerical solutions of multi-order fractional differential equations by Boubaker polynomials-Reference-Cited by-同舟云学术

Numerical solutions of multi-order fractional differential equations by Boubaker polynomials

Published:2016-01-01 Issue:1 Volume:14 Page:226-230
ISSN:2391-5471
Container-title:Open Physics
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Author:

Bolandtalat A.¹,Babolian E.¹,Jafari H.²

Affiliation:

1. 1Department of Mathematics, Science and Research Branch, Islamic Azad University, Tehran, Iran (Islamic Republic of)

2. 2Department of Mathematical sciences, University of South Africa, UNISA003, South Africa\newline and Department of Mathematics, University of Mazandaran, P. O. Box 47416-95447, Babolsar, Iran (Islamic Republic of)

Abstract

AbstractIn this paper, we have applied a numerical method based on Boubaker polynomials to obtain approximate numerical solutions of multi-order fractional differential equations. We obtain an operational matrix of fractional integration based on Boubaker polynomials. Using this operational matrix, the given problem is converted into a set of algebraic equations. Illustrative examples are are given to demonstrate the efficiency and simplicity of this technique.

Publisher

Walter de Gruyter GmbH

Subject

General Physics and Astronomy

Link

https://www.degruyter.com/document/doi/10.1515/phys-2016-0028/pdf

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