Tassaddiq, Asifa and Srivastava, Rekha and Alharbi, Rabab and Kasmani, Ruhaila Md. and Qureshi, Sania (2024) New Inequalities Using Multiple Erdélyi-Kober Fractional Integral Operators. Fractal and Fractional, 8 (4). p. 180. ISSN 2504-3110, DOI https://doi.org/10.3390/fractalfract8040180.
Full text not available from this repository.Abstract
The role of fractional integral inequalities is vital in fractional calculus to develop new models and techniques in the most trending sciences. Taking motivation from this fact, we use multiple Erd & eacute;lyi-Kober (M-E-K) fractional integral operators to establish Minkowski fractional inequalities. Several other new and novel fractional integral inequalities are also established. Compared to the existing results, these fractional integral inequalities are more general and substantial enough to create new and novel results. M-E-K fractional integral operators have been previously applied for other purposes but have never been applied to the subject of this paper. These operators generalize a popular class of fractional integrals; therefore, this approach will open an avenue for new research. The smart properties of these operators urge us to investigate more results using them.
| Item Type: | Article |
|---|---|
| Funders: | Deanship of Postgraduate Studies and Scientific Research at Majmaah University (R-2024-992) |
| Uncontrolled Keywords: | fractional integral inequalities; positive functions; Fox-H-function; mathematical operators |
| Subjects: | Q Science > QA Mathematics |
| Divisions: | Faculty of Science > Institute of Mathematical Sciences |
| Depositing User: | Ms. Juhaida Abd Rahim |
| Date Deposited: | 16 Oct 2024 07:23 |
| Last Modified: | 16 Oct 2024 07:23 |
| URI: | http://eprints.um.edu.my/id/eprint/45386 |
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