New Method for Solving Linear Fractional Differential Equations

Joint Authors

Rida, S. Z.
Arafa, A. A. M.

Source

International Journal of Differential Equations

Issue

Vol. 2011, Issue 2011 (31 Dec. 2011), pp.1-8, 8 p.

Publisher

Hindawi Publishing Corporation

Publication Date

2011-09-22

Country of Publication

Egypt

No. of Pages

8

Main Subjects

Mathematics

Abstract EN

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.

American Psychological Association (APA)

Rida, S. Z.& Arafa, A. A. M.. 2011. New Method for Solving Linear Fractional Differential Equations. International Journal of Differential Equations،Vol. 2011, no. 2011, pp.1-8.
https://search.emarefa.net/detail/BIM-500176

Modern Language Association (MLA)

Rida, S. Z.& Arafa, A. A. M.. New Method for Solving Linear Fractional Differential Equations. International Journal of Differential Equations No. 2011 (2011), pp.1-8.
https://search.emarefa.net/detail/BIM-500176

American Medical Association (AMA)

Rida, S. Z.& Arafa, A. A. M.. New Method for Solving Linear Fractional Differential Equations. International Journal of Differential Equations. 2011. Vol. 2011, no. 2011, pp.1-8.
https://search.emarefa.net/detail/BIM-500176

Data Type

Journal Articles

Language

English

Notes

Includes bibliographical references

Record ID

BIM-500176