Exact Traveling-Wave Solution for Local Fractional Boussinesq Equation in Fractal Domain
| dc.contributor.author | Tenreiro Machado, J. A. | |
| dc.contributor.author | Baleanu, Dumitru | |
| dc.contributor.author | Yang, Xiao-Jun | |
| dc.date.accessioned | 2019-12-16T13:28:07Z | |
| dc.date.accessioned | 2025-09-18T12:47:36Z | |
| dc.date.available | 2019-12-16T13:28:07Z | |
| dc.date.available | 2025-09-18T12:47:36Z | |
| dc.date.issued | 2017 | |
| dc.description | Tenreiro Machado, J. A./0000-0003-4274-4879; Yang, Xiao-Jun/0000-0003-0009-4599 | en_US |
| dc.description.abstract | The new Boussinesq-type model in a fractal domain is derived based on the formulation of the local fractional derivative. The novel traveling wave transform of the non-differentiable type is adopted to convert the local fractional Boussinesq equation into a nonlinear local fractional ODE. The exact traveling wave solution is also obtained with aid of the non-differentiable graph. The proposed method, involving the fractal special functions, is efficient for finding the exact solutions of the nonlinear PDEs in fractal domains. | en_US |
| dc.description.sponsorship | State Key Research Development Program of the People's Republic of China [2016YFC0600705]; Natural Science Foundation of China [51323004]; 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), the Natural Science Foundation of China (Grant No. 51323004), and the Priority Academic Program Development of Jiangsu Higher Education Institutions (PAPD2014). | en_US |
| dc.identifier.citation | Exact Traveling-Wave Solution For Local Fractional Boussinesq Equation in Fractal Domain. (2017) Yang, Xiao-Jun; Tenreiro Machado, J. A.; Baleanu, Dumitru, Fractals-Complex Geometry Patterns And Scaling in Nature And Society, 25(4) | en_US |
| dc.identifier.doi | 10.1142/S0218348X17400060 | |
| dc.identifier.issn | 0218-348X | |
| dc.identifier.issn | 1793-6543 | |
| dc.identifier.uri | https://doi.org/10.1142/S0218348X17400060 | |
| dc.identifier.uri | https://hdl.handle.net/20.500.12416/11849 | |
| dc.language.iso | en | en_US |
| dc.publisher | World Scientific Publ Co Pte Ltd | en_US |
| dc.relation.ispartof | Fractals | |
| dc.rights | info:eu-repo/semantics/openAccess | en_US |
| dc.subject | Exact Traveling-Wave Solution | en_US |
| dc.subject | Local Fractional Boussinesq Equation | en_US |
| dc.subject | Local Fractional Derivative | en_US |
| dc.subject | Fractals | en_US |
| dc.title | Exact Traveling-Wave Solution for Local Fractional Boussinesq Equation in Fractal Domain | en_US |
| dc.title | Exact Traveling-Wave Solution For Local Fractional Boussinesq Equation In Fractal Domain | tr_TR |
| dc.type | Article | en_US |
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| gdc.author.id | Tenreiro Machado, J. A./0000-0003-4274-4879 | |
| gdc.author.id | Yang, Xiao-Jun/0000-0003-0009-4599 | |
| gdc.author.wosid | Yang, Xiao-Jun/E-8311-2011 | |
| gdc.author.wosid | Baleanu, Dumitru/B-9936-2012 | |
| gdc.author.wosid | Tenreiro Machado, J. A./M-2173-2013 | |
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| gdc.description.department | Çankaya University | en_US |
| gdc.description.departmenttemp | [Yang, Xiao-Jun] China Univ Min & Technol, Sch Mech & Civil Engn, State Key Lab Geomech & Deep Underground Engn, Xuzhou 221116, Peoples R China; [Tenreiro Machado, J. A.] Polytech Porto, Inst Engn, Dept Elect Engn, Rua Dr Antonio Bernardino de Almeida, P-4249015 Oporto, Portugal; [Baleanu, Dumitru] Cankya Univ, Dept Math, Ogretmenler Cad 14, TR-06530 Ankara, Turkey; [Baleanu, Dumitru] Inst Space Sci, Magurele, Romania | en_US |
| gdc.description.issue | 4 | en_US |
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