A Numerical Treatment of Fractional Integro-Differential Equations

Abstract

The thesis focuses on a numerical treatment of some differential and integral equations starting from the standard two-point boundary value problem (BVP) of the second order and its integral representation ending with the study of the general fractional order BVP. The main subject of the thesis is how to reduce the given problem to that of solving a system of algebraic equations. The thesis discusses three techniques for this treatment: the first is the finite difference method, the second is the Haar wavelet approach with collocation method and the third is the shifted Chebyshev polynomials of the first kind with collocation pointss