On the Solutions Fractional Riccati Differential Equation with Modified Riemann-Liouville Derivative. (15th May 2012)

• Record Type: Journal Article
• Authors: Merdan Merdan, Mehmet Mehmet
• Other Names: Momoniat Momoniat Ebrahim Ebrahim Academic Editor.
• Is Part Of: International journal of differential equations. Volume 2012(2012)
• Publication Date: 2012-05-15
• Subjects: Differential equations -- Periodicals; Differential equations; Periodicals; 515.35
• DOI: 10.1155/2012/346089
• Languages: English
• ISSNs: 1687-9643

Abstract

Abstract : 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