Open Access
Translator Disclaimer
2011 New Method for Solving Linear Fractional Differential Equations
S. Z. Rida, A. A. M. Arafa
Int. J. Differ. Equ. 2011(SI1): 1-8 (2011). DOI: 10.1155/2011/814132

Abstract

We develop a new application of the Mittag-Leffler Function method that will extend the application of the method to linear differential equations with fractional order. A new solution is constructed in power series. The fractional derivatives are described in the Caputo sense. To illustrate the reliability of the method, some examples are provided. The results reveal that the technique introduced here is very effective and convenient for solving linear differential equations of fractional order.

Citation

Download Citation

S. Z. Rida. A. A. M. Arafa. "New Method for Solving Linear Fractional Differential Equations." Int. J. Differ. Equ. 2011 (SI1) 1 - 8, 2011. https://doi.org/10.1155/2011/814132

Information

Received: 4 May 2011; Revised: 21 July 2011; Accepted: 25 July 2011; Published: 2011
First available in Project Euclid: 26 January 2017

zbMATH: 1239.34007
MathSciNet: MR2832512
Digital Object Identifier: 10.1155/2011/814132

Rights: Copyright © 2011 Hindawi

JOURNAL ARTICLE
8 PAGES


SHARE
Vol.2011 • No. SI1 • 2011
Back to Top