Hadamard type local fractional integral inequalities for generalized harmonically convex functions and applications

Abstract

In this paper, we establish a local fractional integral identity with a parameter λ on Yang's fractal sets. Using this identity, by generalized power mean inequality and generalized Hölder inequality, two Hermite‐Hadamard type local fractional integral inequalities for generalized harmonically convex functions are established. By giving some special values to the parameter, some inequalities with specific form can be obtained. Some applications to generalized special means are given.

Variational approach for the fractional exothermic reactions model with constant heat source in porous medium

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A novel perspective to the local fractional Zakharov–Kuznetsov‐modified equal width dynamical model on Cantor sets

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