On a system of (p, q)-analogues of the natural transform for solving (p, q)-differential equations

被引：1

作者：

Jirakulchaiwong, Sansumpan ^{[1
]}

Nonlaopon, Kamsing ^{[1
]}

Tariboon, Jessada ^{[2
]}

Ntouyas, Sortiris K. ^{[3
]}

Al-Omari, Shrideh ^{[4
]}

机构：

[1] Khon Kaen Univ, Dept Math, Fac Sci, Khon Kaen 40002, Thailand

[2] King Mongkuts Univ Technol North Bangkok, Fac Sci Appl, Dept Math, Bangkok 10800, Thailand

[3] Univ Ioannina, Dept Math, Ioannina 45110, Greece

[4] Al Balqa Appl Univ, Fac Engn Technol, Amman 11134, Jordan

来源：

JOURNAL OF MATHEMATICS AND COMPUTER SCIENCE-JMCS | 2023年 / 29卷 / 04期

关键词：

(p; q)-natural transforms; q)-derivative; q)-integral; q)-calculus; q)-difference equations; q)-convolution theorem; Q-ANALOGS;

D O I：

10.22436/jmcs.029.04.06

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this work, we apply the concept of (p, q)-calculus or post quantum calculus to establish the definitions of (p, q)-analogues of the natural transform of the first and second kind, which is a symmetric relation between (p, q)-analogues of the natural, Laplace, and Sumudu transforms. Moreover, as a result of the convolution theorem, some properties and some functions present in the table of (p, q)-analogues of the natural transform are discussed. Also, we apply them to solve higher order (p, q)-IVP with constants and coefficients, and to show the performance and effectiveness of the proposed transform. (c) 2023 All rights reserved.

引用

页码：369 / 386

页数：18

共 48 条

[1] Approximation by Bivariate (p, q)-Bernstein-Kantorovich Operators [J].