## International Journal of Differential Equations

### New Method for Solving Linear Fractional Differential Equations

#### 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.

#### Article information

Source
Int. J. Differ. Equ., Volume 2011, Special Issue (2011), Article ID 814132, 8 pages.

Dates
Revised: 21 July 2011
Accepted: 25 July 2011
First available in Project Euclid: 26 January 2017

https://projecteuclid.org/euclid.ijde/1485399983

Digital Object Identifier
doi:10.1155/2011/814132

Mathematical Reviews number (MathSciNet)
MR2832512

Zentralblatt MATH identifier
1239.34007

#### Citation

Rida, S. Z.; Arafa, A. A. M. New Method for Solving Linear Fractional Differential Equations. Int. J. Differ. Equ. 2011, Special Issue (2011), Article ID 814132, 8 pages. doi:10.1155/2011/814132. https://projecteuclid.org/euclid.ijde/1485399983

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