The Bernstein Operational Matrices for Solving the Fractional Quadratic Riccati Differential Equations with the Riemann-Liouville Derivative
Joint Authors
Baleanu, Dumitru
Alipour, Mohsen
Jafari, Hossein
Source
Issue
Vol. 2013, Issue 2013 (31 Dec. 2013), pp.1-7, 7 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2013-06-20
Country of Publication
Egypt
No. of Pages
7
Main Subjects
Abstract EN
We obtain the approximate analytical solution for the fractional quadratic Riccati differential equation with the Riemann-Liouville derivative by using the Bernstein polynomials (BPs) operational matrices.
In this method, we use the operational matrix for fractional integration in the Riemann-Liouville sense.
Then by using this matrix and operational matrix of product, we reduce the problem to a system of algebraic equations that can be solved easily.
The efficiency and accuracy of the proposed method are illustrated by several examples.
American Psychological Association (APA)
Baleanu, Dumitru& Alipour, Mohsen& Jafari, Hossein. 2013. The Bernstein Operational Matrices for Solving the Fractional Quadratic Riccati Differential Equations with the Riemann-Liouville Derivative. Abstract and Applied Analysis،Vol. 2013, no. 2013, pp.1-7.
https://search.emarefa.net/detail/BIM-473451
Modern Language Association (MLA)
Baleanu, Dumitru…[et al.]. The Bernstein Operational Matrices for Solving the Fractional Quadratic Riccati Differential Equations with the Riemann-Liouville Derivative. Abstract and Applied Analysis No. 2013 (2013), pp.1-7.
https://search.emarefa.net/detail/BIM-473451
American Medical Association (AMA)
Baleanu, Dumitru& Alipour, Mohsen& Jafari, Hossein. The Bernstein Operational Matrices for Solving the Fractional Quadratic Riccati Differential Equations with the Riemann-Liouville Derivative. Abstract and Applied Analysis. 2013. Vol. 2013, no. 2013, pp.1-7.
https://search.emarefa.net/detail/BIM-473451
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-473451