Fractional Multiplicative Bullen-Type Inequalities for Multiplicative Differentiable Functions

Author:

Boulares Hamid1,Meftah Badreddine1,Moumen Abdelkader2ORCID,Shafqat Ramsha3ORCID,Saber Hicham2,Alraqad Tariq2,Ali Ekram E.2ORCID

Affiliation:

1. Laboratory of Analysis and Control of Differential Equations “ACED”, Faculty MISM, Department of Mathematics, University of Guelma, Guelma 24000, Algeria

2. Department of Mathematics, Faculty of Science, University of Ha’il, Ha’il 55425, Saudi Arabia

3. Department of Mathematics and Statistics, University of Lahore, Sargodha 40100, Pakistan

Abstract

Various scholars have lately employed a wide range of strategies to resolve specific types of symmetrical fractional differential equations. In this paper, we propose a new fractional identity for multiplicatively differentiable functions; based on this identity, we establish some new fractional multiplicative Bullen-type inequalities for multiplicative differentiable convex functions. Some applications of the obtained results are given.

Publisher

MDPI AG

Subject

Physics and Astronomy (miscellaneous),General Mathematics,Chemistry (miscellaneous),Computer Science (miscellaneous)

Reference33 articles.

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4. Ostrowski’s inequality for functions whose first derivatives are s-preinvex in the second sense;Meftah;Khayyam J. Math.,2017

5. Fractional Hermite-Hadamard type integral inequalities for functions whose modulus of derivatives are co-ordinated log-preinvex;Meftah;Punjab Univ. J. Math. (Lahore),2019

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