On Caputo–Fabrizio Fractional Integral Inequalities of Hermite–Hadamard Type for Modified h -Convex Functions-Reference-Cited by-同舟云学术

On Caputo–Fabrizio Fractional Integral Inequalities of Hermite–Hadamard Type for Modified h -Convex Functions

Published:2020-12-22 Issue: Volume:2020 Page:1-17
ISSN:2314-4785
Container-title:Journal of Mathematics
language:en
Short-container-title:Journal of Mathematics

Author:

Wang Xiaobin¹^ORCID,Saleem Muhammad Shoaib²,Aslam Kiran Naseem²,Wu Xingxing¹,Zhou Tong³

Affiliation:

1. College of Science, Xinjiang Institute of Technology, Aksu 843100, China

2. Department of Mathematics, University of Okara, Okara, Pakistan

3. Public Basic Teaching Department, Xinjiang Institute of Technology, Aksu 843100, China

Abstract

The theory of convex functions plays an important role in engineering and applied mathematics. The Caputo–Fabrizio fractional derivatives are one of the important notions of fractional calculus. The aim of this paper is to present some properties of Caputo–Fabrizio fractional integral operator in the setting of

h

-convex function. We present some new Caputo–Fabrizio fractional estimates from Hermite–Hadamard-type inequalities. The results of this paper can be considered as the generalization and extension of many existing results of inequalities and convex functions. Moreover, we also present some application of our results to special means of real numbers.

Publisher

Hindawi Limited

Subject

General Mathematics

Link

http://downloads.hindawi.com/journals/jmath/2020/8829140.pdf

Reference35 articles.

1. Memory formalism in the passive diffusion across a biological membrane;F. Cesarone;Journal of Membrane Science,2004

2. Diffusion with memory in two cases of biological interest

3. Modeling social and economic cycles;M. Caputo,2014

4. New stochastic fractional models for Malthusian growth, the Poissonian birth process and optimal management of populations

5. Experimental and theoretical memory diffusion of water in sand

Cited by 11 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Error Bounds for Fractional Integral Inequalities with Applications;Fractal and Fractional;2024-04-02

2. A Study of Some New Hermite–Hadamard Inequalities via Specific Convex Functions with Applications;Mathematics;2024-02-02

3. Some novel inequalities for Caputo Fabrizio fractional integrals involving (α,s)-convex functions with applications;Mathematical and Computer Modelling of Dynamical Systems;2024-01-09

4. Hermite–Hadamard-Type Inequalities via Caputo–Fabrizio Fractional Integral for h-Godunova–Levin and (h1, h2)-Convex Functions;Fractal and Fractional;2023-09-15

5. New Hadamard Type Inequalities for Modified h-Convex Functions;Fractal and Fractional;2023-02-25