Some applications of coupled fixed point theorems in systems of integral equations

In the first chapter of this thesis consisting of three chapters, information about the areas of use and history of integral equations, fixed point theory and measure of noncompactness is presented. In the second chapter, some basic concepts and some new results related to coupled fixed point theory are given. In the last chapter, a system of integral equations of fractional order in BC(R+) space is considered and it is proved that this system has at least one solution under some assumptions. In addition, the asymptotic stability of the solutions of the system is shown and the basic result presented in this chapter is exemplified.