Approximation Method for Solving Fractional Order Variational Problems using Haar Wavelet

In this thesis, we present a clear procedure of solutions for the fractional variational problems via Haar wavelet technique. The fractional derivative is defined in the Riemann-Liouville sense.The main theme of this thesis is oriented about two objects:
The first objective is to study the simplest fractional variational problem with two fixed boundary conditions and find its approximate solution by using the direct Haar wavelet method.The scond objective is about studying  the fractional variational problems with one movable condition (undetermined condition) and finding its approximate solution by using the direct Haarwavelet method. The approximate solution for the considered classes of  variational problem can be obtained directly from the functional and there is no need to solve the fractional Euler-Lagrange equation therefore the proposed approach (direct Haar wavelet method ) can give us a simplest and accurate solution for such kind of variational problems of fractional order.