More new results on integral inequalities for generalized $ \mathcal{K} $-fractional conformable Integral operators

Yu-Ming Chu; Saima Rashid; Fahd Jarad; Muhammad Aslam Noor; Humaira Kalsoom

doi:10.3934/dcdss.2021063

Article Contents

2021, Volume 14, Issue 7: 2119-2135. Doi: 10.3934/dcdss.2021063

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More new results on integral inequalities for generalized $ \mathcal{K} $-fractional conformable Integral operators

1.
Department of Mathematics, Huzhou University, Huzhou 313000, China
2.
Government College University, Faisalabad, Pakistan
3.
Department of Mathematics, Faculty of Arts and Sciences, Cankaya University Ankara, Turkey
4.
Department of Mathematics, COMSATS University Islamabad, Islamabad, Pakistan
5.
Department of Mathematics, Zhejiang Normal University, Jinhua, 321004, China

^* Corresponding author: Saima Rashid
^* Corresponding author: Saima Rashid

Received: December 2019

Revised: June 2020

Early access: May 2021

Published: July 2021

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Abstract

This paper aims to investigate the several generalizations by newly proposed generalized $ \mathcal{K} $-fractional conformable integral operator. Based on these novel ideas, we derived a novel framework to study for $ \breve{C} $eby$ \breve{s} $ev and P$ \acute{o} $lya-Szeg$ \ddot{o} $ type inequalities by generalized $ \mathcal{K} $-fractional conformable integral operator. Several special cases are apprehended in the light of generalized fractional conformable integral. This novel strategy captures several existing results in the relative literature. We also aim at showing important connections of the results here with those including Riemann-Liouville fractional integral operator.

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Mathematics Subject Classification: Primary: 26D10; 26D15; 26A33.

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