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Some new Caputo fractional derivative inequalities for exponentially (theta, h - m)-convex functions
Journal article   Open access  Peer reviewed

Some new Caputo fractional derivative inequalities for exponentially (theta, h - m)-convex functions

Imran Abbas Baloch, Thabet Abdeljawad, Sidra Bibi, Aiman Mukheimer, Ghulam Farid, Absar Ul Haq and Department of Natural Sciences and Humanities, University of Engineering and Technology (Narowal Campus), Lahore 54000, Pakistan
AIMS mathematics, Vol.7(2), pp.3006-3026
2022
DOI: https://doi.org/10.3934/math.2022166

Abstract

Mathematics Mathematics, Applied Physical Sciences Science & Technology
Firstly, we obtain some inequalities of Hadamard type for exponentially (theta, 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.
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https://doi.org/10.3934/math.2022166View
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