An Efficient Series Solution for Nonlinear Multiterm Fractional Differential Equations
Joint Authors
Al-Refai, Mohammed
Al-Srihin, Moh’d Khier
Source
Discrete Dynamics in Nature and Society
Issue
Vol. 2017, Issue 2017 (31 Dec. 2017), pp.1-10, 10 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2017-03-08
Country of Publication
Egypt
No. of Pages
10
Main Subjects
Abstract EN
In this paper, we introduce an efficient series solution for a class of nonlinear multiterm fractional differential equations of Caputo type.
The approach is a generalization to our recent work for single fractional differential equations.
We extend the idea of the Taylor series expansion method to multiterm fractional differential equations, where we overcome the difficulty of computing iterated fractional derivatives, which are difficult to be computed in general.
The terms of the series are obtained sequentially using a closed formula, where only integer derivatives have to be computed.
Several examples are presented to illustrate the efficiency of the new approach and comparison with the Adomian decomposition method is performed.
American Psychological Association (APA)
Al-Srihin, Moh’d Khier& Al-Refai, Mohammed. 2017. An Efficient Series Solution for Nonlinear Multiterm Fractional Differential Equations. Discrete Dynamics in Nature and Society،Vol. 2017, no. 2017, pp.1-10.
https://search.emarefa.net/detail/BIM-1151505
Modern Language Association (MLA)
Al-Srihin, Moh’d Khier& Al-Refai, Mohammed. An Efficient Series Solution for Nonlinear Multiterm Fractional Differential Equations. Discrete Dynamics in Nature and Society No. 2017 (2017), pp.1-10.
https://search.emarefa.net/detail/BIM-1151505
American Medical Association (AMA)
Al-Srihin, Moh’d Khier& Al-Refai, Mohammed. An Efficient Series Solution for Nonlinear Multiterm Fractional Differential Equations. Discrete Dynamics in Nature and Society. 2017. Vol. 2017, no. 2017, pp.1-10.
https://search.emarefa.net/detail/BIM-1151505
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1151505