On Generalized Composite Fractional Derivative

Abstract

In the present paper, we define a generalized composite fractional derivative and obtain results, which include the image of power function, Laplace transform and composition of Riemann-Liouville fractional integral with the generalized composite fractional derivative. We also obtain the closed form solution of a generalized fractional free electron laser equation with this fractional derivative by using the Adomian decomposition method. doi:10.14456/WJST.2014.61

Keywords

• Adomian decomposition method
• free electron laser equation
• generalized composite fractional derivative
• Laplace transform
• Riemann-Liouville fractional integral