Some problems obtained by katugampola insulated integral

This thesis consists of four main parts. The first of these chapters is the introductory chapter, in which the notion of inequality, convex functions, and the history of fractional analysis are explored in detail, in the second part, some well-known function definitions, convex function classes and well-known mathematicians who worked in the field of fractional analysis are included in the literature. In the third section, the inequalities Hermite-Hadamard and Ostrowski which are frequently used in the studies and some inequalities used in the fractional analysis are given. In the fourth section, which is a part of the findings, some equations related to the Riemann-Liouville fractional integral operator are generalized and equations related to the Katugampola fraction operator are obtained. New equations of type Hermite - Hadamard and Ostrowski were found by applying p - convex function class to these equations.