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
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
