On Generalized Space of Quaternions and Its Application To a Class of Mellin Transforms
| dc.contributor.author | Baleanu, Dumitru | |
| dc.contributor.author | Al-Omari, Shrideh Khalaf Qasem | |
| dc.date.accessioned | 2020-04-06T20:57:28Z | |
| dc.date.accessioned | 2025-09-18T12:48:51Z | |
| dc.date.available | 2020-04-06T20:57:28Z | |
| dc.date.available | 2025-09-18T12:48:51Z | |
| dc.date.issued | 2016 | |
| dc.description | Al-Omari, Shrideh/0000-0001-8955-5552 | en_US |
| dc.description.abstract | The Mellin integral transform is an important tool in mathematics and is closely related to Fourier and bi-lateral Laplace transforms. In this article we aim to investigate the Mellin transform in a class of quaternions which are coordinates for rotations and orientations. We consider a set of quaternions as a set of generalized functions. Then we provide a new definition of the cited Mellin integral on the provided set of quaternions. The attributive Mellin integral is one-to-one, onto and continuous in the quaternion spaces. Further properties of the discussed integral are given on a quaternion context. (C) 2016 All rights reserved. | en_US |
| dc.identifier.citation | Al-Omari, Shrideh Khalaf Qasem; Baleanu, Dumitru, "On generalized space of quaternions and its application to a class of Mellin transforms", Journal of Nonlinear Sciences and Applications, Vol. 9, No. 6, pp. 3898-3908, (2016). | en_US |
| dc.identifier.doi | 10.22436/jnsa.009.06.37 | |
| dc.identifier.issn | 2008-1898 | |
| dc.identifier.issn | 2008-1901 | |
| dc.identifier.scopus | 2-s2.0-84990036874 | |
| dc.identifier.uri | https://doi.org/10.22436/jnsa.009.06.37 | |
| dc.identifier.uri | https://hdl.handle.net/20.500.12416/12165 | |
| dc.language.iso | en | en_US |
| dc.publisher | int Scientific Research Publications | en_US |
| dc.relation.ispartof | Journal of Nonlinear Sciences and Applications | |
| dc.rights | info:eu-repo/semantics/openAccess | en_US |
| dc.subject | Mellin Transform | en_US |
| dc.subject | Rotations | en_US |
| dc.subject | Quaternions | en_US |
| dc.subject | Laplace Transform | en_US |
| dc.subject | Boehmians | en_US |
| dc.title | On Generalized Space of Quaternions and Its Application To a Class of Mellin Transforms | en_US |
| dc.title | On generalized space of quaternions and its application to a class of Mellin transforms | tr_TR |
| dc.type | Article | en_US |
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| gdc.author.id | Al-Omari, Shrideh/0000-0001-8955-5552 | |
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| gdc.author.wosid | Baleanu, Dumitru/B-9936-2012 | |
| gdc.author.wosid | Al-Omari, Shrideh/E-5065-2017 | |
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| gdc.description.department | Çankaya University | en_US |
| gdc.description.departmenttemp | [Al-Omari, Shrideh Khalaf Qasem] Al Balqa Appl Univ, Fac Engn Technol, Dept Phys & Basic Sci, Amman 11134, Jordan; [Baleanu, Dumitru] Cankaya Univ, Dept Math, Eskisehir Yolu 29 Km, TR-06810 Ankara, Turkey; [Baleanu, Dumitru] Inst Space Sci, Magurele, Romania | en_US |
| gdc.description.endpage | 3908 | en_US |
| gdc.description.issue | 6 | en_US |
| gdc.description.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | en_US |
| gdc.description.startpage | 3898 | en_US |
| gdc.description.volume | 9 | en_US |
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