The main theme of this thesis is to study and find the numerical solution of fractional order delay differential equations, and may be divided into two sub objectives, as follows:
The generalization of metric spaces from ordinary sets to fuzzy set theoryand then to the so called cone metric spaces is a promising topics of theoreticalmathematics.
The main objectives of this thesis is oriented toward three directions: The first objective is to study fuzzy set theory with some basic properties related to the theory of variational problems.The second objective is to study variational problems with fuzzy functions, fuzzy condition and fuzzy boundaries by using different approaches for defuzzification, such as centroid method, α-cut method, centroid point and
