The nonlocal conditions for the boundary or initial value problems appear when values of the function on the boundary or on the initial are connected to values inside the domain. Such problems are known as
nonlocal problem.The aim of this work is to study some types of nonlocal problems. This study includes the following aspects:
This thesis have two main objectives, namely:
1- The first objective is to study the mathematical background of the differential quadrature method and its application to solve boundary value problems of the fourth order ordinary differential equations.
2- The second objective is first about function approximation by Gspline interpolation method. Secondly the numerical solution of two applications relating the vibration of a uniform beam problem which
The main aim of this thesis is oriented about finding the approximate solution of fuzzy integral equations of fractional order as follows:
First studying the basic concept of the main subjects related to the work of this thesis which are so called fractional calculus and fuzzy set theory.Second studying the existence and uniqueness of solutions of the fuzzy integral equations of fractional order. Third finding the approximate solutions of the fuzzy integral equations of fractional order using Adomian decomposition method.
