Refinements of some fractional integral inequalities involving extended convex functions and fractional Caputo derivatives

Refinements of some fractional integral inequalities involving extended convex functions and fractional Caputo derivatives

Abstract This article examines famous fractional Hermite–Hadamard integral inequalities through the applications of fractional Caputo derivatives and extended convex functions. We develop modifications involving two known classical fractional extended versions of the Hermite–Hadamard type inequaliti...

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Bibliographic Details
Main Authors: Muhammad Imran, Shahid Mubeen, Aziz Khan, Thabet Abdeljawad
Format: Article
Language:English
Published: SpringerOpen 2025-02-01
Series:Journal of Inequalities and Applications
Subjects:
Exponential trigonometric convex functions
log-convex functions
Caputo fractional derivatives
Fractional integral inequalities
Online Access:https://doi.org/10.1186/s13660-025-03259-w
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https://doi.org/10.1186/s13660-025-03259-w

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