An Application of Multiple Erdélyi–Kober Fractional Integral Operators to Establish New Inequalities Involving a General Class of Functions-Reference-Cited by-同舟云学术

An Application of Multiple Erdélyi–Kober Fractional Integral Operators to Establish New Inequalities Involving a General Class of Functions

Published:2024-07-25 Issue:8 Volume:8 Page:438
ISSN:2504-3110
Container-title:Fractal and Fractional
language:en
Short-container-title:Fractal Fract

Author:

Tassaddiq Asifa¹^ORCID,Srivastava Rekha²^ORCID,Alharbi Rabab³^ORCID,Kasmani Ruhaila Md⁴^ORCID,Qureshi Sania⁵⁶^ORCID

Affiliation:

1. Department of Basic Sciences and Humanities, College of Computer and Information Sciences, Majmaah University, Al Majmaah 11952, Saudi Arabia

2. Department of Mathematics and Statistics, University of Victoria, Victoria, BC V8W 3R4, Canada

3. Department of Mathematics, College of Science, Qassim University, Buraydah 51452, Saudi Arabia

4. Institute of Mathematical Sciences, Universiti Malaya, Kuala Lumpur 50603, Malaysia

5. Department of Computer Science and Mathematics, Lebanese American University, Beirut P.O. Box 13-5053, Lebanon

6. Department of Basic Sciences and Related Studies, Mehran University of Engineering & Technology, Jamshoro 76062, Pakistan

Abstract

This research aims to develop generalized fractional integral inequalities by utilizing multiple Erdélyi–Kober (E–K) fractional integral operators. Using a set of j, with (j∈N) positively continuous and decaying functions in the finite interval a≤t≤x, the Fox-H function is involved in establishing new and novel fractional integral inequalities. Since the Fox-H function is the most general special function, the obtained inequalities are therefore sufficiently widespread and significant in comparison to the current literature to yield novel and unique results.

Publisher

MDPI AG

Link

https://www.mdpi.com/2504-3110/8/8/438/pdf

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