Fractional integral inequalities on time scales

This thesis study, which examines some important fractional integral inequalities in time scales, consists of nine parts. In the introductory part of the thesis, the concepts of fractional analysis and time scale are introduced and information about the history of the subject is given. In the second part, basic definitions and examples related to the subject are included. In the third part of the thesis Hermite-Hadamard type inequalities are investigated with generalized fractional integrals. In the fourth chapter, Hermite-Hadamard type inequalities including fractional integrations have been researched and generalized. In the fifth chapter, fractional integral inequalities are investigated by means of s-convex functions. In the sixth chapter, theorems and lemmas of generalized geometric convex functions and inequalities are given. In the seventh chapter, some different fractional integral inequalities are investigated. In the last part, some new integral inequalities are obtained in the time scale by using the Delta Riemann-Liouville fractional integral, and finally the results and recommendations are given.