On (p,q)-Sumudu and (p,q)-Laplace Transforms of the Basic Analogue of Aleph-Function

In this paper, we introduce the definitions of Sumudu and Laplace transforms of first and second kind in quantum calculus by using functions of several variables. On account of the general nature of the ( p , q ) -analogue of Aleph-function, a large number of new and known results for these transfor...

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Vydáno v:	Symmetry (Basel) Ročník 12; číslo 3; s. 390
Hlavní autoři:	Tassaddiq, Asifa, Bhat, Altaf Ahmad, Jain, D. K., Ali, Farhad
Médium:	Journal Article
Jazyk:	angličtina
Vydáno:	01.03.2020
ISSN:	2073-8994, 2073-8994
On-line přístup:	Získat plný text
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Popis
Shrnutí:	In this paper, we introduce the definitions of Sumudu and Laplace transforms of first and second kind in quantum calculus by using functions of several variables. On account of the general nature of the ( p , q ) -analogue of Aleph-function, a large number of new and known results for these transforms were obtained. Also, we obtain some interesting relationships and identities for these transforms. We also derive some correlations among Aleph function and the above-mentioned integral transforms in quantum calculus.
ISSN:	2073-8994 2073-8994
DOI:	10.3390/sym12030390