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Some new Caputo fractional derivative inequalities for exponentially (θ,h−m)–convex functions

Authors :
Imran Abbas Baloch
Thabet Abdeljawad
Sidra Bibi
Aiman Mukheimer
Ghulam Farid
Absar Ul Haq
Source :
AIMS Mathematics, Vol 7, Iss 2, Pp 3006-3026 (2022)
Publication Year :
2022
Publisher :
AIMS Press, 2022.

Abstract

Firstly, we obtain some inequalities of Hadamard type for exponentially (θ,h−m)–convex functions via Caputo k–fractional derivatives. Secondly, using integral identity including the (n+1)–order derivative of a given function via Caputo k-fractional derivatives we prove some of its related results. Some new results are given and known results are recaptured as special cases from our results.

Details

Language :
English
ISSN :
24736988
Volume :
7
Issue :
2
Database :
Directory of Open Access Journals
Journal :
AIMS Mathematics
Publication Type :
Academic Journal
Accession number :
edsdoj.28f21bc141514ce1abab610c8e774d28
Document Type :
article
Full Text :
https://doi.org/10.3934/math.2022166?viewType=HTML