Fractional Variational Iteration Method and Its Application to Fractional Partial Differential Equation

الملخص EN

We use the fractional variational iteration method (FVIM) with modified Riemann-Liouville derivative to solve some equations in fluid mechanics and in financial models.

The fractional derivatives are described in Riemann-Liouville sense.

To show the efficiency of the considered method, some examples that include the fractional Klein-Gordon equation, fractional Burgers equation, and fractional Black-Scholes equation are investigated.