Power Series Methods for Solving Fractal Differential Equations using Least Squares Approximations

Abstract

For introducing of studying the fractal differential Equations, a proposed method for its solution was studied using Power series Methods via least squares approximations. The method depend on the definitions of Riemann-liouville fractional derivatives. The linear non homogenous fractal differential Equations are solved with detailed examples. For checking the errors, many comparisons of solutions with exact solutions and with known solutions.