EXISTENCE AND UNIQUENESS THEOREM OF FRACTIONAL DIFFERENTIAL EQUATION USING SADOVISKI FIXED – POINT THEOREM

Abstract

The main objective of this paper is to state and prove the existence and uniqueness theorem of fractional differential equations using one of the most important theorems in nonlinear functional analysis which is the Sadoviski fixed – point theorem. Here the undertaken differential operator is in the sense of Riemann – Liouville definition of fractional integration.