$New estimates considering the generalized proportional Hadamard fractional integral operators$

New estimates considering the generalized proportional Hadamard fractional integral operators

In the article, we describe the Grüss type inequality, provide some related inequalities by use of suitable fractional integral operators, address several variants by utilizing the generalized proportional Hadamard fractional (GPHF) integral operator. It is pointed out that our introduced new integr...

Full description

Saved in:

Bibliographic Details
Published in:	Advances in difference equations 2020-06, Vol.2020 (1), p.1-15, Article 275
Main Authors:	Zhou, Shuang-Shuang, Rashid, Saima, Jarad, Fahd, Kalsoom, Humaira, Chu, Yu-Ming
Format:	Article
Language:	eng
Subjects:	Analysis Applications Difference and Functional Equations Fractional calculus Functional Analysis Generalized proportional Hadamard fractional integral operator Grüss inequality Integrals Mathematics Mathematics and Statistics Methods Operators (mathematics) Ordinary Differential Equations Partial Differential Equations Riemann–Liouville fractional integral operator Topics in Special Functions and q-Special Functions: Theory
Online Access:	Get full text
Tags:	Add Tag No Tags, Be the first to tag this record!

Description
Summary:	In the article, we describe the Grüss type inequality, provide some related inequalities by use of suitable fractional integral operators, address several variants by utilizing the generalized proportional Hadamard fractional (GPHF) integral operator. It is pointed out that our introduced new integral operators with nonlocal kernel have diversified applications. Our obtained results show the computed outcomes for an exceptional choice to the GPHF integral operator with parameter and the proportionality index. Additionally, we illustrate two examples that can numerically approximate these operators.
ISSN:	1687-1847 1687-1839 1687-1847