On the \(q\)-Sumudu transform with two variables and some properties

Volume 25, Issue 2, pp 166--175 http://dx.doi.org/10.22436/jmcs.025.02.05

Publication Date: May 26, 2021 Submission Date: March 19, 2021 Revision Date: April 12, 2021 Accteptance Date: April 24, 2021

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Authors

Artan F. Alidema - Department of Mathematics, Faculty of Mathematical and Natural Science, University of Prishtina, Mother Theresa p.n, 10000, Prishtina, Kosovo. Shkumbin V. Makolli - Department of Mathematics, Faculty of Mechanical Engeenering, University of Prishtina, Agim Ramadani p.n, 1000 Pristina, Kosovo.

Abstract

In this paper we present some properties of double \(q\)-Sumudu transform in \(q\)-calculus by using the functions of two variables. Furthermore results on convergence, absolute convergence and convolution are discussed. At the end some examples are given to illustrate use of double \(q\)-Sumudu transform.

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Keywords

• Double \(q\)-Sumudu transform
• convergence
• convolution

MSC

•  33D05
•  33D60
•  35A22
•  42A85

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