Grüss-type fractional inequality via Caputo-Fabrizio integral operator-Reference-Cited by-同舟云学术

Grüss-type fractional inequality via Caputo-Fabrizio integral operator

Published:2022-12-01 Issue:2 Volume:14 Page:262-277
ISSN:2066-7752
Container-title:Acta Universitatis Sapientiae, Mathematica
language:en
Short-container-title:

Author:

Nale Asha B.¹,Panchal Satish K.¹,Chinchane Vaijanath L.²

Affiliation:

1. Department of Mathematics , Dr. Babasaheb Ambedkar Marathwada University , Aurangabad - , India

2. Department of Mathematics , Deogiri Institute of Engineering and Management Studies , Aurangabad - , India

Abstract

Abstract In this article, the main objective is to establish the Grüss-type fractional integral inequalities by employing the Caputo-Fabrizio fractional integral.

Publisher

Walter de Gruyter GmbH

Subject

General Mathematics

Link

https://www.sciendo.com/pdf/10.2478/ausm-2022-0018

Reference40 articles.

1. [1] T. A. Aljaaidi and D. B. Pachpatte,Some Grüss-type inequalities using generalized Katugampola fractional integral, AIMS Mathematics, 2 (5), (2020), 1011–1024. doi: 10.3934/math.2020070.10.3934/math.2020070

2. [2] D. Baleanu, J. A. T. Machado and C. J. Luo, Fractional Dynamic and Control, Springer, 2012, pp 159–171.10.1007/978-1-4614-0457-6

3. [3] S. Belarbi and Z. Dahmani,On some new fractional integral inequality, J. Inequal. Pure and Appl. Math., 10 (3) (2009), Art.86, 5 pp.

4. [4] P. L. Butzer, A. A. Kilbas and J. J. Trujillo, Fractional Calculus in the Mellin setting and Hadardmard-type fractional integrals, J. Math. Anal. Appl., (2002), 1–27.10.1016/S0022-247X(02)00001-X

5. [5] M. Caputo and M. Fabrizio, A new defination of fractional derivative without singular kernel, Progr., Fract., Differ., Appl., 1 (2) (2015), 73–85.10.18576/pfda/020101

Cited by 1 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. A comprehensive review of Grüss-type fractional integral inequality;AIMS Mathematics;2023