Fractional (p, q)-Mellin Transform and Its Applications

被引：0

作者：

Jain, Pankaj ^{[1
]}

Basu, Chandrani ^{[1
]}

Panwar, Vivek ^{[1
,2
]}

机构：

[1] South Asian Univ, Dept Math, New Delhi 110021, India

[2] Manipal Univ Jaipur, Dept Math & Stat, Jaipur, India

来源：

BULLETIN OF THE IRANIAN MATHEMATICAL SOCIETY | 2023年 / 49卷 / 04期

关键词：

Fractional; (p; q)-Mellin transform; Inversion formula; Convolution; q)-fractional calculus; Integral equation; Riemann-Liouville operators; MELLIN TRANSFORM; BEZIER CURVES; Q)-ANALOG; INEQUALITIES; CALCULUS;

D O I：

10.1007/s41980-023-00795-3

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we introduce and study the fractional (p, q)-Mellin transform of order alpha, denoted by M-p,q(alpha), an appropriate convolution and the inversion formula for M-p,q(alpha). We provide several properties of M-p,q(alpha) including those involving fractional integral and fractional derivative of Riemann-Liouville type. Towards applications, using M-p,q(alpha), we solve some integral equations, a fractional (p, q)-difference equation and a Titchmarsh type theorem is proved.

引用

页数：25

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