Title of article
Fractional (p,q) -Mellin Transform and Its Applications
Author/Authors
Jain ، Pankaj Department of Mathematics - Faculty of Science - South Asian University , Basu ، Chandrani Department of Mathematics - Faculty of Science - South Asian University , Panwar ، Vivek Department of Mathematics - Faculty of Science - South Asian University
From page
1
To page
15
Abstract
In this paper, we introduce and study the fractional (p, q)-Mellin transform of order α, denoted by Mαp ,q , an appropriate convolution and the inversion formula for Mαp ,q. We provide several properties of Mαp ,q including those involving fractional integral and fractional derivative ofRiemann–Liouville type.Towards applications, using Mαp ,q,we solve some integral equations, a fractional (p, q)-difference equation and a type theorem is proved. Keywords Fractional (p, q)-Mellin transform · Inversion formula · Convolution · (p, q)-fractional calculus · Integral equation · Riemann–Liouville operators
Keywords
Fractional (p , q) , Mellin transform , Inversion formula , Convolution , (p , q) , fractional calculus , Integral equation , Riemann–Liouville operators ,
Journal title
Bulletin of the Iranian Mathematical Society
Journal title
Bulletin of the Iranian Mathematical Society
Record number
2757091
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