Integral inequalities via conformable fractional integral operators

In this thesis, new generalizations have been obtained including conformable fractional integral for convex, concave and s-convex functions. The first chapter is devoted to introduction, and in this chapter information on inequalities, convex functions, fractional derivatives and integrals, conformable fractional derivatives and integrals has been given. In the second chapter, basic definitions and concepts related to convex functions, different types of convex function classes, some important inequalities and fractional derivative and integral definitions well known in the literature are included. In the third chapter, basic definitions, theorems and information about conformable fractional derivatives and integrals are given. Later, some inequalities in the literature are included in this section. In the fourth chapter, new inequalities including conformable fractional integral are obtained for convex and concave functions. Also inequalities including conformable fractional integral were obtained for s-convex functions.