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 α≥0 and study some of their properties. Further, some properties are extended to fractional way for Mellin transform.
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
SpringerOpen
2016
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| Online Access: | http://psasir.upm.edu.my/id/eprint/43157/ http://psasir.upm.edu.my/id/eprint/43157/1/43157.pdf |
| _version_ | 1848850153203564544 |
|---|---|
| author | Kilicman, Adem Omran, Maryam |
| author_facet | Kilicman, Adem Omran, Maryam |
| author_sort | Kilicman, Adem |
| building | UPM Institutional Repository |
| collection | Online Access |
| description | In this article, we define the fractional Mellin transform by using Riemann–Liouville fractional integral operator and Caputo fractional derivative of order α≥0 and study some of their properties. Further, some properties are extended to fractional way for Mellin transform. |
| first_indexed | 2025-11-15T10:01:45Z |
| format | Article |
| id | upm-43157 |
| institution | Universiti Putra Malaysia |
| institution_category | Local University |
| language | English |
| last_indexed | 2025-11-15T10:01:45Z |
| publishDate | 2016 |
| publisher | SpringerOpen |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | upm-431572016-05-18T03:17:43Z http://psasir.upm.edu.my/id/eprint/43157/ Note on fractional Mellin transform and applications Kilicman, Adem Omran, Maryam In this article, we define the fractional Mellin transform by using Riemann–Liouville fractional integral operator and Caputo fractional derivative of order α≥0 and study some of their properties. Further, some properties are extended to fractional way for Mellin transform. SpringerOpen 2016 Article PeerReviewed application/pdf en http://psasir.upm.edu.my/id/eprint/43157/1/43157.pdf Kilicman, Adem and Omran, Maryam (2016) Note on fractional Mellin transform and applications. SpringerPlus, 5 (1). art. no. 100. pp. 1-8. ISSN 2193-1801 http://link.springer.com/article/10.1186%2Fs40064-016-1711-x 10.1186/s40064-016-1711-x |
| spellingShingle | Kilicman, 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 |
| url | http://psasir.upm.edu.my/id/eprint/43157/ http://psasir.upm.edu.my/id/eprint/43157/ http://psasir.upm.edu.my/id/eprint/43157/ http://psasir.upm.edu.my/id/eprint/43157/1/43157.pdf |