Note on fractional Mellin transform and applications

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.

Detalles Bibliográficos
Autores principales: Kılıçman, Adem, Omran, Maryam
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Springer International Publishing 2016
Materias:
Research
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC4735076/
https://www.ncbi.nlm.nih.gov/pubmed/26877898
http://dx.doi.org/10.1186/s40064-016-1711-x
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author Kılıçman, Adem
Omran, Maryam
author_facet Kılıçman, Adem
Omran, Maryam
author_sort Kılıçman, Adem
collection PubMed
description 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.
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spelling pubmed-47350762016-02-12 Note on fractional Mellin transform and applications Kılıçman, Adem Omran, Maryam Springerplus Research 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. Springer International Publishing 2016-02-01 /pmc/articles/PMC4735076/ /pubmed/26877898 http://dx.doi.org/10.1186/s40064-016-1711-x Text en © Kılıçman and Omran. 2016 Open AccessThis article is distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution, and reproduction in any medium, provided you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license, and indicate if changes were made.
spellingShingle Research
Kılıçman, Adem
Omran, Maryam
Note on fractional Mellin transform and applications
title Note on fractional Mellin transform and applications
title_full Note on fractional Mellin transform and applications
title_fullStr Note on fractional Mellin transform and applications
title_full_unstemmed Note on fractional Mellin transform and applications
title_short Note on fractional Mellin transform and applications
title_sort note on fractional mellin transform and applications
topic Research
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC4735076/
https://www.ncbi.nlm.nih.gov/pubmed/26877898
http://dx.doi.org/10.1186/s40064-016-1711-x
work_keys_str_mv AT kılıcmanadem noteonfractionalmellintransformandapplications
AT omranmaryam noteonfractionalmellintransformandapplications

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