Some remarks on geometry of fractional calculus
In recent years, researchers interested in the field of fractals and related subjects have also begun using the concept of fractional calculus in some of their investigations. In this paper, some interesting aspects and features of fractional connection derivatives in differential manifold were disc...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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Natural Sciences Publishing
2015
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| Online Access: | http://psasir.upm.edu.my/id/eprint/51928/ http://psasir.upm.edu.my/id/eprint/51928/1/Some%20remarks%20on%20geometry%20of%20fractional%20calculus.pdf |
| _version_ | 1848851967027183616 |
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| author | Saleh, Wedad Kilicman, Adem |
| author_facet | Saleh, Wedad Kilicman, Adem |
| author_sort | Saleh, Wedad |
| building | UPM Institutional Repository |
| collection | Online Access |
| description | In recent years, researchers interested in the field of fractals and related subjects have also begun using the concept of fractional calculus in some of their investigations. In this paper, some interesting aspects and features of fractional connection derivatives in differential manifold were discussed. In particular, transformation of Christoffel symbols for fractional connection, the torsion tensor of a fractional connection, and difference tensor of two fractional connection are presented. |
| first_indexed | 2025-11-15T10:30:35Z |
| format | Article |
| id | upm-51928 |
| institution | Universiti Putra Malaysia |
| institution_category | Local University |
| language | English |
| last_indexed | 2025-11-15T10:30:35Z |
| publishDate | 2015 |
| publisher | Natural Sciences Publishing |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | upm-519282017-10-27T01:49:18Z http://psasir.upm.edu.my/id/eprint/51928/ Some remarks on geometry of fractional calculus Saleh, Wedad Kilicman, Adem In recent years, researchers interested in the field of fractals and related subjects have also begun using the concept of fractional calculus in some of their investigations. In this paper, some interesting aspects and features of fractional connection derivatives in differential manifold were discussed. In particular, transformation of Christoffel symbols for fractional connection, the torsion tensor of a fractional connection, and difference tensor of two fractional connection are presented. Natural Sciences Publishing 2015 Article PeerReviewed application/pdf en http://psasir.upm.edu.my/id/eprint/51928/1/Some%20remarks%20on%20geometry%20of%20fractional%20calculus.pdf Saleh, Wedad and Kilicman, Adem (2015) Some remarks on geometry of fractional calculus. Applied Mathematics & Information Sciences, 9 (3). pp. 1265-1272. ISSN 1935-0090; ESSN: 2325-0399 http://www.naturalspublishing.com/ContIss.asp?IssID=253 |
| spellingShingle | Saleh, Wedad Kilicman, Adem Some remarks on geometry of fractional calculus |
| title | Some remarks on geometry of fractional calculus |
| title_full | Some remarks on geometry of fractional calculus |
| title_fullStr | Some remarks on geometry of fractional calculus |
| title_full_unstemmed | Some remarks on geometry of fractional calculus |
| title_short | Some remarks on geometry of fractional calculus |
| title_sort | some remarks on geometry of fractional calculus |
| url | http://psasir.upm.edu.my/id/eprint/51928/ http://psasir.upm.edu.my/id/eprint/51928/ http://psasir.upm.edu.my/id/eprint/51928/1/Some%20remarks%20on%20geometry%20of%20fractional%20calculus.pdf |