Note on fractional Mellin transform and applications

Kılıçman A; Omran M

doi:10.1186/s40064-016-1711-x

Fulltext

Note on fractional Mellin transform and applications

Kılıçman A ¹ , Omran M ²

Affiliations

¹ Department of Mathematics, Institute for Mathematical Research, University Putra Malaysia, 43400 Serdang, Selangor Malaysia
² Institute for Mathematical Research (INSPEM), University Putra Malaysia, 43400 Serdang, Malaysia

Springerplus, 2016;5:100.

PMID: 26877898 DOI: 10.1186/s40064-016-1711-x

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.

* Title and MeSH Headings from MEDLINE®/PubMed®, a database of the U.S. National Library of Medicine.