Mathematics and Computer Applications - Sciene

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.
 

 This work concerns with the nonlocal problems and the main theme of it can be divide into three categories, which can be listed as follows:
First: Some analytical methods namely, the separation of  variables and the eigenfunction expansion method to solve some types of linear  partial differential equations with nonlocal conditions, are presented.