On fractional order Mellin transform and some of its properties

M. Omran, A. Kiliçman

In this work, we introduce fractional Mellin transform of order α, 0 < α ≤ 1 on a function which belongs to the Lizorkin space. Further, some properties and applications of fractional Mellin transform are given. 

Tbilisi Mathematical Journal, Vol. 10(1) (2017), pp. 315-324