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

Tassaddiq, Asifa and Srivastava, Rekha and Alharbi, Rabab and Kasmani, Ruhaila Md. and Qureshi, Sania (2024) An Application of Multiple Erdélyi-Kober Fractional Integral Operators to Establish New Inequalities Involving a General Class of Functions. Fractal and Fractional, 8 (8). p. 438. ISSN 2504-3110, DOI https://doi.org/10.3390/fractalfract8080438.

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Official URL: https://doi.org/10.3390/fractalfract8080438

Abstract

This research aims to develop generalized fractional integral inequalities by utilizing multiple Erd & eacute;lyi-Kober (E-K) fractional integral operators. Using a set of j, with (j is an element of 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.

Item Type: Article
Funders: Deanship of Postgraduate Studies and Scientific Research at Majmaah University (ICR-2024-1194)
Uncontrolled Keywords: Fox-H function; generalized inequalities; multiple Erd & eacute;lyi-Kober (E-K) fractional integral transforms; continuous functions; mathematical operators
Subjects: Q Science > QA Mathematics
Divisions: Faculty of Science > Institute of Mathematical Sciences
Depositing User: Ms. Juhaida Abd Rahim
Date Deposited: 07 Apr 2025 07:24
Last Modified: 07 Apr 2025 07:24
URI: http://eprints.um.edu.my/id/eprint/46748

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