Open Access
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


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.


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


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

Vol.2011 • No. SI1 • 2011
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