Approximate Analytical Solution for Nonlinear System of Fractional Differential Equations by BPs Operational Matrices
Joint Authors
Baleanu, Dumitru
Alipour, Mohsen
Source
Advances in Mathematical Physics
Issue
Vol. 2013, Issue 2013 (31 Dec. 2013), pp.1-9, 9 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2013-04-04
Country of Publication
Egypt
No. of Pages
9
Main Subjects
Abstract EN
We present two methods for solving a nonlinear system of fractional differential equations within Caputo derivative.
Firstly, we derive operational matrices for Caputo fractional derivative and for Riemann-Liouville fractional integral by using the Bernstein polynomials (BPs).
In the first method, we use the operational matrix of Caputo fractional derivative (OMCFD), and in the second one, we apply the operational matrix of Riemann-Liouville fractional integral (OMRLFI).
The obtained results are in good agreement with each other as well as with the analytical solutions.
We show that the solutions approach to classical solutions as the order of the fractional derivatives approaches 1.
American Psychological Association (APA)
Alipour, Mohsen& Baleanu, Dumitru. 2013. Approximate Analytical Solution for Nonlinear System of Fractional Differential Equations by BPs Operational Matrices. Advances in Mathematical Physics،Vol. 2013, no. 2013, pp.1-9.
https://search.emarefa.net/detail/BIM-511112
Modern Language Association (MLA)
Alipour, Mohsen& Baleanu, Dumitru. Approximate Analytical Solution for Nonlinear System of Fractional Differential Equations by BPs Operational Matrices. Advances in Mathematical Physics No. 2013 (2013), pp.1-9.
https://search.emarefa.net/detail/BIM-511112
American Medical Association (AMA)
Alipour, Mohsen& Baleanu, Dumitru. Approximate Analytical Solution for Nonlinear System of Fractional Differential Equations by BPs Operational Matrices. Advances in Mathematical Physics. 2013. Vol. 2013, no. 2013, pp.1-9.
https://search.emarefa.net/detail/BIM-511112
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-511112