## International Journal of Differential Equations

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

### New Method for Solving Linear Fractional Differential Equations

**Full-text: Open access**

#### 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**

Received: 4 May 2011

Revised: 21 July 2011

Accepted: 25 July 2011

First available in Project Euclid: 26 January 2017

**Permanent link to this document**

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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