Local Fractional Functional Method for Solving Diffusion Equations on Cantor Sets
The analytical solutions for the diffusion equations on Cantor sets with the nondifferentiable terms are discussed by using the local fractional functional method, which is a coupling method for local fractional Fourier series and Laplace transform.
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| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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Wiley
2014-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2014/803693 |
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| _version_ | 1849467865486327808 |
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| author | Yuan Cao Wei-Gang Ma Lian-Chuan Ma |
| author_facet | Yuan Cao Wei-Gang Ma Lian-Chuan Ma |
| author_sort | Yuan Cao |
| collection | DOAJ |
| description | The analytical solutions for the diffusion equations on Cantor sets with the nondifferentiable terms are discussed by using the local fractional functional method, which is a coupling method for local fractional Fourier series and Laplace transform. |
| format | Article |
| id | doaj-art-e1043c2ef7de48ee8bcaf26d565b8776 |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2014-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-e1043c2ef7de48ee8bcaf26d565b87762025-08-20T03:26:00ZengWileyAbstract and Applied Analysis1085-33751687-04092014-01-01201410.1155/2014/803693803693Local Fractional Functional Method for Solving Diffusion Equations on Cantor SetsYuan Cao0Wei-Gang Ma1Lian-Chuan Ma2National Engineering Research Center of Rail Transportation Operation and Control System, Beijing Jiaotong University, Beijing 100044, ChinaFaculty of Computer Science and Engineering, Xi’an University of Technology, Xi’An 710048, ChinaNational Engineering Research Center of Rail Transportation Operation and Control System, Beijing Jiaotong University, Beijing 100044, ChinaThe analytical solutions for the diffusion equations on Cantor sets with the nondifferentiable terms are discussed by using the local fractional functional method, which is a coupling method for local fractional Fourier series and Laplace transform.http://dx.doi.org/10.1155/2014/803693 |
| spellingShingle | Yuan Cao Wei-Gang Ma Lian-Chuan Ma Local Fractional Functional Method for Solving Diffusion Equations on Cantor Sets Abstract and Applied Analysis |
| title | Local Fractional Functional Method for Solving Diffusion Equations on Cantor Sets |
| title_full | Local Fractional Functional Method for Solving Diffusion Equations on Cantor Sets |
| title_fullStr | Local Fractional Functional Method for Solving Diffusion Equations on Cantor Sets |
| title_full_unstemmed | Local Fractional Functional Method for Solving Diffusion Equations on Cantor Sets |
| title_short | Local Fractional Functional Method for Solving Diffusion Equations on Cantor Sets |
| title_sort | local fractional functional method for solving diffusion equations on cantor sets |
| url | http://dx.doi.org/10.1155/2014/803693 |
| work_keys_str_mv | AT yuancao localfractionalfunctionalmethodforsolvingdiffusionequationsoncantorsets AT weigangma localfractionalfunctionalmethodforsolvingdiffusionequationsoncantorsets AT lianchuanma localfractionalfunctionalmethodforsolvingdiffusionequationsoncantorsets |