On some generalized integral inequalities for riemann-liouville fractional integrals

The theory of fractional calculus has known an intensive development over the last few decades. It is shown that derivatives and integrals of fractional type provide an adequate mathematical modelling of real objects and processes. Therefore, the study of fractional differential equations need more developmental of inequalities of fractional type. In the purpose of the present thesis is to establish some new forms of the inequality of Ostrowski via fractional integrals. Therefore, this thesis consists of four chapters; Riemann-Liouville Fractional integrals were described, including how they appear in the first chapter. Definition and basic theorems that are necessary for our study were explained in the second part. The derivation of the Riemann-Liouville Fractional integrals and solution methods on this topic were discussed in the third chapter. We use the Riemann-Liouville fractional integrals to establish several new inequalities for some differantiable mappings that are connected with the celebrated Ostrowski type integral inequality in fourth chapter.