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On the Solutions Fractional Riccati Differential Equation with Modified Riemann-Liouville Derivative
Author
Source
International Journal of Differential Equations
Issue
Vol. 2012, Issue 2012 (31 Dec. 2012), pp.1-17, 17 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2012-05-15
Country of Publication
Egypt
No. of Pages
17
Main Subjects
Abstract EN
Fractional variational iteration method (FVIM) is performed to give an approximate analytical solution of nonlinear fractional Riccati differential equation.
Fractional derivatives are described in the Riemann-Liouville derivative.
A new application of fractional variational iteration method (FVIM) was extended to derive analytical solutions in the form of a series for these equations.
The behavior of the solutions and the effects of different values of fractional order α are indicated graphically.
The results obtained by the FVIM reveal that the method is very reliable, convenient, and effective method for nonlinear differential equations with modified Riemann-Liouville derivative
American Psychological Association (APA)
Merdan, Mehmet. 2012. On the Solutions Fractional Riccati Differential Equation with Modified Riemann-Liouville Derivative. International Journal of Differential Equations،Vol. 2012, no. 2012, pp.1-17.
https://search.emarefa.net/detail/BIM-464530
Modern Language Association (MLA)
Merdan, Mehmet. On the Solutions Fractional Riccati Differential Equation with Modified Riemann-Liouville Derivative. International Journal of Differential Equations No. 2012 (2012), pp.1-17.
https://search.emarefa.net/detail/BIM-464530
American Medical Association (AMA)
Merdan, Mehmet. On the Solutions Fractional Riccati Differential Equation with Modified Riemann-Liouville Derivative. International Journal of Differential Equations. 2012. Vol. 2012, no. 2012, pp.1-17.
https://search.emarefa.net/detail/BIM-464530
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-464530