Tassaddiq, Asifa and Srivastava, Rekha and Md Kasmani, Ruhaila and Almutairi, Dalal Khalid (2023) Distributional representation of a special fox-wright function with an application. Mathematics, 11 (15). ISSN 2227-7390, DOI https://doi.org/10.3390/math11153372.
Full text not available from this repository.Abstract
A review of the literature demonstrates that the Fox-Wright function is not only a mathematical puzzle, but its role is naturally to represent basic physical phenomena. Motivated by this fact, we studied a new representation of this function in terms of complex delta functions. This representation was useful to compute its Laplace transform with respect to the third parameter & gamma; for which it also generalizes the one and two-parameter Mittag-Leffler functions. New identities involving the Fox-Wright function were discussed and used to simplify the results. Different fractional transforms were evaluated and the solution of a fractional kinetic equation was obtained by using its new representation. Several new properties of this function were discussed as a distribution.
| Item Type: | Article |
|---|---|
| Funders: | Majmaah University [Grant no. ICR-2023-501] |
| Uncontrolled Keywords: | Fox-wright function; Mittag-leffler function; fractional images; H-function; kinetic equation |
| Subjects: | Q Science > QA Mathematics |
| Divisions: | Faculty of Science > Institute of Mathematical Sciences |
| Depositing User: | Ms. Juhaida Abd Rahim |
| Date Deposited: | 31 Oct 2025 01:41 |
| Last Modified: | 31 Oct 2025 01:41 |
| URI: | http://eprints.um.edu.my/id/eprint/48680 |
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