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

By Mehmet Merdan. 2012

51 citations recorded by the source corpus.

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

Subfields: Modeling and Simulation, Numerical Analysis, Statistical and Nonlinear Physics

View Paper: https://www.semanticscholar.org/paper/4e88a3f36dddef6a9e4eedb9dd3365a7c0695af3

Citations in the corpus

• An iterative approach for solving fractional optimal control problems (2018, unknown): “The fractional VIM has been used to obtain approximate solutions of fractional Riccati differential equations (Merdan, 2012).”