Volume 44, Issue 10 pp. 8414-8431
SPECIAL ISSUE PAPER

Hermite-Hadamard inequalities in fractional calculus defined using Mittag-Leffler kernels

Arran Fernandez

Corresponding Author

Arran Fernandez

Department of Mathematics, Faculty of Arts and Sciences, Eastern Mediterranean University, Famagusta, via Mersin-10 Northern Cyprus, Turkey

Correspondence

Arran Fernandez, Department of Mathematics, Faculty of Arts and Sciences, Eastern Mediterranean University, Famagusta, Northern Cyprus, via Mersin-10, Turkey.

Email: [email protected]

Communicated by: D. Zeidan

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Pshtiwan Mohammed

Pshtiwan Mohammed

Department of Mathematics, College of Education, University of Sulaimani, Sulaimani, Kurdistan Region, Iraq

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First published: 09 January 2020
Citations: 82

Abstract

We consider the Hermite-Hadamard inequality and related results on integral inequalities, in the context of fractional integrals and derivatives defined using Mittag-Leffler kernels, specifically the Atangana-Baleanu and Prabhakar models of fractional calculus.

Conflict of interest

There are no conflicts of interest to declare.

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