Tbilisi Mathematical Journal

On fractional order Mellin transform and some of its properties

Maryam Omran and Adem Kiliçman

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Abstract

In this work, we introduce fractional Mellin transform of order $ \alpha, \ \ 0 \lt \alpha \leq1$ on a function which belongs to the Lizorkin space. Further, some properties and applications of fractional Mellin transform are given.

Article information

Source
Tbilisi Math. J., Volume 10, Issue 1 (2017), 315-324.

Dates
Received: 9 March 2016
Accepted: 8 April 2016
First available in Project Euclid: 26 May 2018

Permanent link to this document
https://projecteuclid.org/euclid.tbilisi/1527300033

Digital Object Identifier
doi:10.1515/tmj-2017-0020

Mathematical Reviews number (MathSciNet)
MR3667136

Zentralblatt MATH identifier
1376.44005

Subjects
Primary: 26A33: Fractional derivatives and integrals
Secondary: 42A38: Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type 44A15: Special transforms (Legendre, Hilbert, etc.)

Keywords
Mellin transform fractional Fourier transform fractional Mellin transform fractional operator

Citation

Omran, Maryam; Kiliçman, Adem. On fractional order Mellin transform and some of its properties. Tbilisi Math. J. 10 (2017), no. 1, 315--324. doi:10.1515/tmj-2017-0020. https://projecteuclid.org/euclid.tbilisi/1527300033


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