Stability of fractional differential equation systems with delay

This thesis consists of five chapters. The first chapter is devoted to the brief information on fractional calculus to be used in the later chapters. In the second chapter, related researches on the literatüre are given. In the third chapter, fundamental definitions and theorems are considered and it is also stated the importance of the selected method to be applied. In the fourth chapter, a stating sufficient conditions for the stability of the fractional differential equations with delay arguments is proved. This fact is also supported by verified two example. The last section is devoted to the suggestions and conclusions.