On the Solutions Fractional Riccati Differential Equation with Modified Riemann-Liouville Derivative

Mehmet Merdan

International Journal of Differential Equations, 2012, vol. 2012, 1-17

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 ð ›¼ 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

Date: 2012
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnijde:346089

DOI: 10.1155/2012/346089

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