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

Document Type : Research Paper

Authors

1 Mathematics Department, COMSATS Institute of Information Technology, Attock Campus, Attock, Pakistan

2 Mathematics, COMSATS Institute of Information Technology, Attock Campus, Attock, Pakistan

Abstract

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

International Journal of Nonlinear Analysis and Applications
Volume 9, Issue 1
Summer and Autumn 2018
Pages 69-81

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