Existence and Uniqueness Theorem of Some Fuzzy Fractional Order Differential Equation”

The main objective of thesis is oriented toward two objectives.

The first objective is to introduce and study new type of differential equations, which are the so called fuzzy fractional order differential equations. This type of equations is the collection between two different theories in mathematics which are fuzzy set theory and theory of fractional calculus, where the study include some illustrative examples and theoretical aspects. The second objective is the statement and proof of the existence and uniqueness theorem of fuzzy fractional order differential equations using Sadoviskii’s fixed point theorem.