New Analytical Solutions for Klein-Gordon and Helmholtz Equations in Fractal Dimensional Space
| dc.contributor.author | Yang, Xiao-Jun | |
| dc.contributor.author | Baleanu, Dumitru | |
| dc.contributor.author | Baleanu, Dumitru | |
| dc.contributor.author | Gao, Feng | |
| dc.contributor.other | Matematik | |
| dc.date.accessioned | 2025-09-23T12:47:38Z | |
| dc.date.available | 2025-09-23T12:47:38Z | |
| dc.date.issued | 2017 | |
| dc.description | Yang, Xiao-Jun/0000-0003-0009-4599 | en_US |
| dc.description.abstract | We consider the local fractional Klein Gordon equation and Helmholtz equation in (1+1) fractal dimensional space. The local fractional Laplace series expansion method is used to solve the local fractional partial differential equations in fractal dimensional space. We present the non differentiable analytical solutions and the corresponding graphs. The obtained results illustrate the accuracy and efficiency of this approach to local fractional partial differential equations. | en_US |
| dc.description.sponsorship | State Key Research Development Program of the People's Republic of China [2016YFC0600705]; Priority Academic Program Development of Jiangsu Higher Education Institutions [PAPD2014] | en_US |
| dc.description.sponsorship | This work is supported by the State Key Research Development Program of the People's Republic of China (Grant No. 2016YFC0600705) and the Priority Academic Program Development of Jiangsu Higher Education Institutions (PAPD2014). | en_US |
| dc.identifier.citation | Yang, Xiao-Jun; Baleanu, Dumitru; Gao, Feng, "New analytical solutions for klein-gordon and helmholtz equations in fractal dimensional space", Proceedings Of The Romanian Academy Series A-Mathematics Physics Technical Sciences İnformation Science, Vol.18, No.3, pp.231-238, (2017). | en_US |
| dc.identifier.issn | 1454-9069 | |
| dc.identifier.scopus | 2-s2.0-85031812595 | |
| dc.identifier.uri | https://hdl.handle.net/20.500.12416/15181 | |
| dc.language.iso | en | en_US |
| dc.publisher | Editura Acad Romane | en_US |
| dc.rights | info:eu-repo/semantics/closedAccess | en_US |
| dc.subject | Klein-Gordon Equation | en_US |
| dc.subject | Helmholtz Equation | en_US |
| dc.subject | Analytical Solution | en_US |
| dc.subject | Laplace Transform | en_US |
| dc.subject | Series Expansion Method | en_US |
| dc.subject | Local Fractional Derivative | en_US |
| dc.title | New Analytical Solutions for Klein-Gordon and Helmholtz Equations in Fractal Dimensional Space | en_US |
| dc.title | New analytical solutions for klein-gordon and helmholtz equations in fractal dimensional space | tr_TR |
| dc.type | Article | en_US |
| dspace.entity.type | Publication | |
| gdc.author.id | Yang, Xiao-Jun/0000-0003-0009-4599 | |
| gdc.author.scopusid | 37006104500 | |
| gdc.author.scopusid | 7005872966 | |
| gdc.author.scopusid | 56410271800 | |
| gdc.author.wosid | Baleanu, Dumitru/B-9936-2012 | |
| gdc.author.wosid | Yang, Xiao-Jun/E-8311-2011 | |
| gdc.author.wosid | Gao, Feng/Grx-5768-2022 | |
| gdc.author.yokid | 56389 | |
| gdc.coar.access | metadata only access | |
| gdc.coar.type | text::journal::journal article | |
| gdc.description.department | Çankaya University | en_US |
| gdc.description.departmenttemp | [Yang, Xiao-Jun; Gao, Feng] China Univ Min & Technol, Sch Mech & Civil Engn, Xuzhou 221116, Peoples R China; [Yang, Xiao-Jun; Gao, Feng] China Univ Min & Technol, State Key Lab Geomech & Deep Underground Engn, Xuzhou 221116, Peoples R China; [Baleanu, Dumitru] Cankaya Univ, Fac Arts & Sci, Dept Math, TR-06530 Ankara, Turkey; [Baleanu, Dumitru] Inst Space Sci, RO-077125 Bucharest, Romania | en_US |
| gdc.description.endpage | 238 | en_US |
| gdc.description.issue | 3 | en_US |
| gdc.description.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | en_US |
| gdc.description.scopusquality | Q4 | |
| gdc.description.startpage | 231 | en_US |
| gdc.description.volume | 18 | en_US |
| gdc.description.woscitationindex | Science Citation Index Expanded | |
| gdc.description.wosquality | Q3 | |
| gdc.identifier.wos | WOS:000411046400006 | |
| gdc.publishedmonth | 7 | |
| gdc.scopus.citedcount | 36 | |
| gdc.virtual.author | Baleanu, Dumitru | |
| gdc.wos.citedcount | 34 | |
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