Fractional Complex Transform Method for Wave Equations on Cantor Sets Within Local Fractional Differential Operator
| dc.contributor.author | Yang, Xiao-Jun | |
| dc.contributor.author | Jafari, H. | |
| dc.contributor.author | Baleanu, Dumitru | |
| dc.contributor.author | Su, Wei-Hua | |
| dc.date.accessioned | 2020-04-29T22:49:02Z | |
| dc.date.accessioned | 2025-09-18T12:08:14Z | |
| dc.date.available | 2020-04-29T22:49:02Z | |
| dc.date.available | 2025-09-18T12:08:14Z | |
| dc.date.issued | 2013 | |
| dc.description | Yang, Xiao-Jun/0000-0003-0009-4599; Jafari, Hossein/0000-0001-6807-6675 | en_US |
| dc.description.abstract | This paper points out the fractional complex transform method for wave equations on Cantor sets within the local differential fractional operators. The proposed method is efficient to handle differential equations on Cantor sets. | en_US |
| dc.description.sponsorship | Natural Science Foundation of Tianjin, China [10JCZDJC25100] | en_US |
| dc.description.sponsorship | The authors would like to thank the editor and the referees for their useful comments and remarks. The work is supported by the Natural Science Foundation of Tianjin, China (No. 10JCZDJC25100). | en_US |
| dc.identifier.doi | 10.1186/1687-1847-2013-97 | |
| dc.identifier.issn | 1687-1847 | |
| dc.identifier.scopus | 2-s2.0-84879315907 | |
| dc.identifier.uri | https://doi.org/10.1186/1687-1847-2013-97 | |
| dc.identifier.uri | https://hdl.handle.net/20.500.12416/11072 | |
| dc.language.iso | en | en_US |
| dc.publisher | Springer | en_US |
| dc.relation.ispartof | Advances in Difference Equations | |
| dc.rights | info:eu-repo/semantics/openAccess | en_US |
| dc.subject | Fractional Complex Transform Method | en_US |
| dc.subject | Wave Equations | en_US |
| dc.subject | Local Fractional Differential Operators | en_US |
| dc.subject | Cantor Sets | en_US |
| dc.title | Fractional Complex Transform Method for Wave Equations on Cantor Sets Within Local Fractional Differential Operator | en_US |
| dc.title | Fractional Complex Transform Method For Wave Equations On Cantor Sets Within Local Fractional Differential Operator | tr_TR |
| dc.type | Article | en_US |
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| gdc.author.id | Yang, Xiao-Jun/0000-0003-0009-4599 | |
| gdc.author.id | Jafari, Hossein/0000-0001-6807-6675 | |
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| gdc.author.wosid | Jafari, Hossein/E-9912-2016 | |
| gdc.author.wosid | Baleanu, Dumitru/B-9936-2012 | |
| gdc.author.wosid | Yang, Xiao-Jun/E-8311-2011 | |
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| gdc.description.department | Çankaya University | en_US |
| gdc.description.departmenttemp | [Su, Wei-Hua] Tianjin Univ, Sch Mech Engn, Tianjin 300072, Peoples R China; [Su, Wei-Hua] Acad Mil Med Sci, Inst Med Equipment, Tianjin 300161, Peoples R China; [Yang, Xiao-Jun] China Univ Min & Technol, Sch Mech & Civil Engn, Xuzhou 221008, Jiangsu, Peoples R China; [Yang, Xiao-Jun] Zhengzhou Normal Univ, Inst Software Sci, Zhengzhou 450044, Peoples R China; [Jafari, H.] Univ Mazandaran, Fac Math Sci, Dept Math, Babol Sar, Iran; [Baleanu, Dumitru] Cankaya Univ, Fac Arts & Sci, Dept Math & Comp Sci, TR-06530 Ankara, Turkey; [Baleanu, Dumitru] King Abdulaziz Univ, Fac Engn, Dept Chem & Mat Engn, Jeddah 21589, Saudi Arabia; [Baleanu, Dumitru] Inst Space Sci, Magurele, Romania | en_US |
| gdc.description.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | en_US |
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| gdc.oaire.keywords | Cantor set | |
| gdc.oaire.keywords | Mathematical analysis | |
| gdc.oaire.keywords | Orthogonal Polynomials | |
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| gdc.oaire.keywords | Anomalous Diffusion Modeling and Analysis | |
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| gdc.oaire.keywords | Time-Fractional Diffusion Equation | |
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| gdc.oaire.keywords | Fractional Fourier Transform Analysis | |
| gdc.oaire.keywords | Fractional calculus | |
| gdc.oaire.keywords | Pure mathematics | |
| gdc.oaire.keywords | Partial differential equation | |
| gdc.oaire.keywords | Pseudo-differential operator | |
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| gdc.oaire.keywords | Analysis | |
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| gdc.oaire.keywords | Ordinary differential equation | |
| gdc.oaire.keywords | local fractional differential operators | |
| gdc.oaire.keywords | Transform methods (e.g., integral transforms) applied to PDEs | |
| gdc.oaire.keywords | fractional complex transform method | |
| gdc.oaire.keywords | wave equations | |
| gdc.oaire.keywords | Cantor sets | |
| gdc.oaire.keywords | Fractional partial differential equations | |
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