Cantor-Type Cylindrical-Coordinate Method for Differential Equations With Local Fractional Derivatives
| dc.contributor.author | Srivastava, H. M. | |
| dc.contributor.author | He, Ji-Huan | |
| dc.contributor.author | Baleanu, Dumitru | |
| dc.contributor.author | Yang, Xiao-Jun | |
| dc.contributor.authorID | 56389 | tr_TR |
| dc.contributor.other | 02.02. Matematik | |
| dc.contributor.other | 02. Fen-Edebiyat Fakültesi | |
| dc.contributor.other | 01. Çankaya Üniversitesi | |
| dc.date.accessioned | 2020-05-15T16:06:15Z | |
| dc.date.accessioned | 2025-09-18T12:47:47Z | |
| dc.date.available | 2020-05-15T16:06:15Z | |
| dc.date.available | 2025-09-18T12:47:47Z | |
| dc.date.issued | 2013 | |
| dc.description | Yang, Xiao-Jun/0000-0003-0009-4599; Srivastava, Hari M./0000-0002-9277-8092 | 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.description.sponsorship | PAPD (Priority Academic Program Development of Jiangsu Higher Education Institutions); Project for Six Kinds of Top Talents in Jiangsu Province, China [ZBZZ-035] | en_US |
| dc.description.sponsorship | The work is supported by PAPD (A Project Funded by the Priority Academic Program Development of Jiangsu Higher Education Institutions) and Project for Six Kinds of Top Talents in Jiangsu Province, China (Grant No. ZBZZ-035). | en_US |
| dc.identifier.doi | 10.1016/j.physleta.2013.04.012 | |
| dc.identifier.issn | 0375-9601 | |
| dc.identifier.scopus | 2-s2.0-84878016367 | |
| dc.identifier.uri | https://doi.org/10.1016/j.physleta.2013.04.012 | |
| dc.identifier.uri | https://hdl.handle.net/123456789/11884 | |
| dc.language.iso | en | en_US |
| dc.publisher | Elsevier Science Bv | 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 | en_US |
| dc.title | Cantor-Type Cylindrical-Coordinate Method For Differential Equations With Local Fractional Derivatives | tr_TR |
| dc.type | Article | en_US |
| dspace.entity.type | Publication | |
| gdc.author.id | Yang, Xiao-Jun/0000-0003-0009-4599 | |
| gdc.author.id | Srivastava, Hari M./0000-0002-9277-8092 | |
| gdc.author.institutional | Baleanu, Dumitru | |
| gdc.author.scopusid | 37006104500 | |
| gdc.author.scopusid | 23152241800 | |
| gdc.author.scopusid | 55817862100 | |
| gdc.author.scopusid | 7005872966 | |
| gdc.author.wosid | Yang, Xiao-Jun/E-8311-2011 | |
| gdc.author.wosid | Baleanu, Dumitru/B-9936-2012 | |
| gdc.author.wosid | He, Ji-Huan/K-8504-2013 | |
| gdc.author.wosid | Srivastava, Hari M./N-9532-2013 | |
| gdc.description.department | Çankaya University | en_US |
| gdc.description.departmenttemp | [Yang, Xiao-Jun] China Univ Min & Technol, Dept Math & Mech, Xuzhou 221008, Jiangsu, Peoples R China; [Yang, Xiao-Jun] Qujing Normal Univ, Inst Appl Math, Qujing 655011, Peoples R China; [Srivastava, H. M.] Univ Victoria, Dept Math & Stat, Victoria, BC V8W 3R4, Canada; [He, Ji-Huan] Soochow Univ, Coll Text & Clothing Engn, Natl Engn Lab Modern Silk, Suzhou 215123, Peoples R China; [Baleanu, Dumitru] Cankaya Univ, Fac Arts & Sci, Dept Math & Comp Sci, TR-06530 Ankara, Turkey; [Baleanu, Dumitru] King Abdulaziz Univ, Dept Chem & Mat Engn, Fac Engn, Jeddah 21589, Saudi Arabia; [Baleanu, Dumitru] Inst Space Sci, Magurele, Romania | en_US |
| gdc.description.endpage | 1700 | en_US |
| gdc.description.issue | 28-30 | en_US |
| gdc.description.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | en_US |
| gdc.description.scopusquality | Q2 | |
| gdc.description.startpage | 1696 | en_US |
| gdc.description.volume | 377 | en_US |
| gdc.description.woscitationindex | Science Citation Index Expanded | |
| gdc.description.wosquality | Q3 | |
| gdc.identifier.openalex | W2137222429 | |
| gdc.identifier.wos | WOS:000320206900007 | |
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| gdc.openalex.normalizedpercentile | 1.0 | |
| gdc.openalex.toppercent | TOP 1% | |
| gdc.opencitations.count | 110 | |
| gdc.plumx.crossrefcites | 114 | |
| gdc.plumx.mendeley | 11 | |
| gdc.plumx.scopuscites | 155 | |
| gdc.scopus.citedcount | 154 | |
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