Existence and uniqueness conditions for fractional order differential equation systems

In this thesis study, the existence and uniqueness of solutions of fractional order differential equation systems were investigated. In the introduction section, general information about the concept of fractional order differential equation and its application areas will be given. In the second part, basic concepts for functional analysis, differential equations, contraction conditions and fixed point theorems, fractional derivatives and integrals will be explained. The third part consists of two parts. In the first part, studies on existence and uniqueness theorems for some fractional order differential equation systems will be included. In the second part, it will be revealed under what conditions the existence and uniqueness of the solution of a system of fractional order differential equations is ensured.