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

Volume 9, Issue 1
September 2018
Pages 69-81

  • Receive Date 02 March 2017
  • Revise Date 16 January 2018
  • Accept Date 20 April 2018

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