title: Note on fractional Mellin transform and applications.
abstract: In this article, we define the fractional Mellin transform by using Riemann-Liouville fractional integral operator and Caputo fractional derivative of order [Formula: see text] and study some of their properties. Further, some properties are extended to fractional way for Mellin transform.
authors.affiliation: Department of Mathematics, Institute for Mathematical Research, University Putra Malaysia, 43400 Serdang, Selangor Malaysia.
authors.forename: Adem
authors.initials: A
authors.lastname: Kılıçman
authors.affiliation: Institute for Mathematical Research (INSPEM), University Putra Malaysia, 43400 Serdang, Malaysia.
authors.forename: Maryam
authors.initials: M
authors.lastname: Omran
keywords: Caputo fractional derivative; Fractional calculus; Mellin transform; Riemann–Liouville fractional integral and derivative