Coputo fractional integral inequalities

In this thesis, the concepts of Caputo fractional derivative and Caputo fractional ıntegral are applied mathematically and the definitions and theorems necessary with priority are given. Riemann-Liouville ıntegral and derivative operators and Caputo derivative operator and Caputo integral operators are introduced and some of their general properties and the relationship between them are discussed. The Caputo fractional derivative and Caputo fractional integral have been proved with the help of inequalities and some inequalities present in the literature have been presented. Mehmet Zeki Sarikaya's work for two functions in his 2012 paper and Pachatte's work for three functions in his 2012 paper have been generalized to n multiple functions.