Fractional q-Calculus Operators Pertaining to the q-Analogue of M-Function and Its Application to Fractional q-Kinetic Equations

Autor:	Biniyam Shimelis, Daya Lal Suthar, Dinesh Kumar
Jazyk:	angličtina
Rok vydání:	2024
Předmět:	fractional q-calculus operators fractional q-kinetic equations q-Mittag–Leffler function q-Laplace transform q-Sumudu transform q-gamma function Mathematics QA1-939
Zdroj:	Axioms, Vol 13, Iss 2, p 78 (2024)
Druh dokumentu:	article
ISSN:	2075-1680
DOI:	10.3390/axioms13020078
Popis:	In this article, the authors introduce the q-analogue of the M-function, and establish four theorems related to the Riemann–Liouville fractional q-calculus operators pertaining to the newly defined q-analogue of M-functions. In addition, to establish the solution of fractional q-kinetic equations involving the q-analogue of the M-function, we apply the technique of the q-Laplace transform and the q-Sumudu transform and its inverse to obtain the solution in closed form. Due to the general nature of the q-calculus operators and defined functions, a variety of results involving special functions can only be obtained by setting the parameters appropriately.
Databáze:	Directory of Open Access Journals
Externí odkaz:	https://doaj.org/article/88ca4b9655474fc28bb93a8a835a9cb5 Zobrazit plný text záznamu View record in DOAJ Plný text ve formátu PDF Plný text ve formátu HTML
Nepřihlášeným uživatelům se plný text nezobrazuje	K zobrazení výsledku je třeba se přihlásit.