A comprehensive review of Grüss-type fractional integral inequality-Reference-Cited by-同舟云学术

A comprehensive review of Grüss-type fractional integral inequality

Published:2023 Issue:1 Volume:9 Page:2244-2281
ISSN:2473-6988
Container-title:AIMS Mathematics
language:
Short-container-title:MATH

Author:

Tariq Muhammad¹,Ntouyas Sotiris K.²,Ahmad Hijaz³⁴⁵,Shaikh Asif Ali¹⁶,Almohsen Bandar⁷,Hincal Evren⁶

Affiliation:

1. Department of Basic Sciences and Related Studies, Mehran UET, Jamshoro 76062, Pakistan

2. Department of Mathematics, University of Ioannina, Ioannina 45110, Greece

3. Near East University, Operational Research Center in Healthcare, TRNC Mersin 10, Nicosia, 99138, Turkey

4. Center for Applied Mathematics and Bioinformatics, Gulf University for Science and Technology, Kuwait

5. Department of Computer Science and Mathematics, Lebanese American University, Beirut, Lebanon

6. Department of Mathematics, Faculty of Arts and Sciences Near East University, Mersin 99138, Turkey

7. Department of Mathematics, College of Science, King Saud University, Riyadh 11451, Saudi Arabia

Abstract

<abstract><p>A survey of results on Grüss-type inequalities associated with a variety of fractional integral and differential operators is presented. The fractional differential operators includes, Riemann-Liouville fractional integral operators, Riemann-Liouville fractional integrals of a function with respect to another function, Katugampola fractional integral operators, Hadamard's fractional integral operators, $ k $-fractional integral operators, Raina's fractional integral operators, tempered fractional integral operators, conformable fractional integrals operators, proportional fractional integrals operators, generalized Riemann-Liouville fractional integral operators, Caputo-Fabrizio fractional integrals operators, Saigo fractional integral operators, quantum integral operators, and Hilfer fractional differential operators.</p></abstract>

Publisher

American Institute of Mathematical Sciences (AIMS)

Subject

General Mathematics

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