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

Physics

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