Solution of Fractional Differential Equations by Using Variational Approach

Abstract

In this paper, we modify a new approach based on variational techniques for solving fractional differential equations of the form:y()  F(x, y) y(1)(x0)  y0, where 0 <  < 1This approach has its bases on using Magri’s approach (see [8] )for every linear operator, the results are established using direct Ritz method as well as optimization method to solve these fractional differential equations numerically.