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
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.
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页数:25
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