Generalized iterative method for the solution of linear and nonlinear fractional differential equations with composite fractional derivative operator

Abstract

In present paper, we introduced generalized iterative method to solve linear and nonlinear fractional differential equations with composite fractional derivative operator. Linear/nonlinear fractional diffusion-wave equations, time-fractional diffusion equation, time fractional Navier-Stokes equation have been solved by using generalized iterative method. The graphical representations of the approximate analytical solutions of the fractional differential equations were provided.

Keywords

• composite fractional derivative
• fractional diffusion-wave equation
• navier-stokes equation
• fractional schrödinger equation
• mittag-leffler function