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

الملخص 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