On Hadamard and Fej\'{e}r-Hadamard inequalities for Caputo \small{k}-fractional derivatives

In this paper we will prove certain Hadamard and Fejer-Hadamard inequalities for the functions whose nth derivatives are convex by using Caputo k-fractional derivatives. These results have some relationship with inequalities for Caputo fractional derivatives.

Keywords:

Convex functions , Hadamard inequality , Fejer-Hadamard inequality , Caputo fractional derivatives