An Efficient Series Solution for Fractional Differential Equations
Joint Authors
Syam, Muhammed I.
Al-Refai, Mohammed
Hajji, M. A.
Source
Issue
Vol. 2014, Issue 2014 (31 Dec. 2014), pp.1-7, 7 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2014-04-06
Country of Publication
Egypt
No. of Pages
7
Main Subjects
Abstract EN
We introduce a simple and efficient series solution for a class of nonlinear fractional differential equations of Caputo's type.
The new approach is a modified form of the well-known Taylor series expansion where we overcome the difficulty of computing iterated fractional derivatives, which do not compute in general.
The terms of the series are determined sequentially with explicit formula, where only integer derivatives have to be computed.
The efficiency of the new algorithm is illustrated through several examples.
Comparison with other series methods such as the Adomian decomposition method and the homotopy perturbation method is made to indicate the efficiency of the new approach.
The algorithm can be implemented for a wide class of fractional differential equations with different types of fractional derivatives.
American Psychological Association (APA)
Al-Refai, Mohammed& Hajji, M. A.& Syam, Muhammed I.. 2014. An Efficient Series Solution for Fractional Differential Equations. Abstract and Applied Analysis،Vol. 2014, no. 2014, pp.1-7.
https://search.emarefa.net/detail/BIM-1014999
Modern Language Association (MLA)
Al-Refai, Mohammed…[et al.]. An Efficient Series Solution for Fractional Differential Equations. Abstract and Applied Analysis No. 2014 (2014), pp.1-7.
https://search.emarefa.net/detail/BIM-1014999
American Medical Association (AMA)
Al-Refai, Mohammed& Hajji, M. A.& Syam, Muhammed I.. An Efficient Series Solution for Fractional Differential Equations. Abstract and Applied Analysis. 2014. Vol. 2014, no. 2014, pp.1-7.
https://search.emarefa.net/detail/BIM-1014999
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1014999