Fractional integral inequalities for some convex stochastic processes

The aim of this studyis to obtain fractional integrable inequalities for these stochastic processes. In the introduction part of this thesis, information about convexity and fractional analysis is given briefly. In the second part, the basic concepts related to the subject of the thesis are presented. In the material and method part, the concepts of quadratic convergence, continuity, differentiability and integrability are given for stochastic processes. In the research findings section, the concepts of quadratic intermediate fractional differentiation and fractional integrability were defined for stochastic processes and Hermite-Hadamard type fractional integral inequalities were obtained for each of the convex, preinvex, harmonic convex, p-convex, and second meaning s-convex stochastic processes.