Cantor-Type Cylindrical-Coordinate Method For Differential Equations With Local Fractional Derivatives
| dc.contributor.author | Baleanu, Dumitru | |
| dc.contributor.author | Srivastava, H. M. | |
| dc.contributor.author | Baleanu, Dumitru | |
| dc.contributor.author | He, Ji-Huan | |
| dc.contributor.authorID | 56389 | tr_TR |
| dc.date.accessioned | 2020-05-15T16:06:15Z | |
| dc.date.available | 2020-05-15T16:06:15Z | |
| dc.date.issued | 2013 | |
| dc.department | Çankaya Üniversitesi, Fen Edebiyat Fakültesi, Matematik Bölümü | en_US |
| dc.description.abstract | In this Letter, we propose to use the Cantor-type cylindrical-coordinate method in order to investigate a family of local fractional differential operators on Cantor sets. Some testing examples are given to illustrate the capability of the proposed method for the heat-conduction equation on a Cantor set and the damped wave equation in fractal strings. It is seen to be a powerful tool to convert differential equations on Cantor sets from Cantorian-coordinate systems to Cantor-type cylindrical-coordinate systems. (c) 2013 Published by Elsevier B.V. | en_US |
| dc.description.publishedMonth | 10 | |
| dc.identifier.doi | 10.1016/j.physleta.2013.04.012 | |
| dc.identifier.endpage | 1700 | en_US |
| dc.identifier.issn | 0375-9601 | |
| dc.identifier.issue | 28-30 | en_US |
| dc.identifier.startpage | 1696 | en_US |
| dc.identifier.uri | https://hdl.handle.net/20.500.12416/3864 | |
| dc.identifier.volume | 377 | en_US |
| dc.language.iso | en | en_US |
| dc.publisher | Elsevier Science | en_US |
| dc.relation.ispartof | Physics Letters A | en_US |
| dc.rights | info:eu-repo/semantics/closedAccess | en_US |
| dc.subject | Heat-Conduction Equation | en_US |
| dc.subject | Damped Wave Equation | en_US |
| dc.subject | Local Fractional Derivatives | en_US |
| dc.subject | Cantor Set | en_US |
| dc.title | Cantor-Type Cylindrical-Coordinate Method For Differential Equations With Local Fractional Derivatives | tr_TR |
| dc.title | Cantor-Type Cylindrical-Coordinate Method for Differential Equations With Local Fractional Derivatives | en_US |
| dc.type | Article | en_US |
| dspace.entity.type | Publication | |
| relation.isAuthorOfPublication | f4fffe56-21da-4879-94f9-c55e12e4ff62 | |
| relation.isAuthorOfPublication.latestForDiscovery | f4fffe56-21da-4879-94f9-c55e12e4ff62 |
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