An eigenvalue-eigenvector method for solving a system of fractional differential equations with uncertainty
A new method is proposed for solving systems of fuzzy fractional differential equations (SFFDEs) with fuzzy initial conditions involving fuzzy Caputo differentiability. For this purpose, three cases are introduced based on the eigenvalue-eigenvector approach; then it is shown that the solution of sy...
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Hindawi Publishing Corporation
2013
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| 在线阅读: | http://psasir.upm.edu.my/id/eprint/30074/1/An%20eigenvalue.pdf http://psasir.upm.edu.my/id/eprint/30074/ http://www.hindawi.com/journals/mpe/2013/579761/ |
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my.upm.eprints.300742016-02-17T01:43:48Z http://psasir.upm.edu.my/id/eprint/30074/ An eigenvalue-eigenvector method for solving a system of fractional differential equations with uncertainty Shahriyar, M. R. Balooch Ismail, Fudziah Aghabeigi, S. Ahmadian, Ali Salahshour, S. A new method is proposed for solving systems of fuzzy fractional differential equations (SFFDEs) with fuzzy initial conditions involving fuzzy Caputo differentiability. For this purpose, three cases are introduced based on the eigenvalue-eigenvector approach; then it is shown that the solution of system of fuzzy fractional differential equations is vector of fuzzy-valued functions. Then the method is validated by solving several examples. Hindawi Publishing Corporation 2013 Article PeerReviewed application/pdf en http://psasir.upm.edu.my/id/eprint/30074/1/An%20eigenvalue.pdf Shahriyar, M. R. Balooch and Ismail, Fudziah and Aghabeigi, S. and Ahmadian, Ali and Salahshour, S. (2013) An eigenvalue-eigenvector method for solving a system of fractional differential equations with uncertainty. Mathematical Problems in Engineering, 2013. art. no. 579761. pp. 1-11. ISSN 1024-123X http://www.hindawi.com/journals/mpe/2013/579761/ 10.1155/2013/579761 English |
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English English |
| description |
A new method is proposed for solving systems of fuzzy fractional differential equations (SFFDEs) with fuzzy initial conditions involving fuzzy Caputo differentiability. For this purpose, three cases are introduced based on the eigenvalue-eigenvector approach; then it is shown that the solution of system of fuzzy fractional differential equations is vector of fuzzy-valued functions. Then the method is validated by solving several examples. |
| format |
Article |
| author |
Shahriyar, M. R. Balooch Ismail, Fudziah Aghabeigi, S. Ahmadian, Ali Salahshour, S. |
| spellingShingle |
Shahriyar, M. R. Balooch Ismail, Fudziah Aghabeigi, S. Ahmadian, Ali Salahshour, S. An eigenvalue-eigenvector method for solving a system of fractional differential equations with uncertainty |
| author_facet |
Shahriyar, M. R. Balooch Ismail, Fudziah Aghabeigi, S. Ahmadian, Ali Salahshour, S. |
| author_sort |
Shahriyar, M. R. Balooch |
| title |
An eigenvalue-eigenvector method for solving a system of fractional differential equations with uncertainty |
| title_short |
An eigenvalue-eigenvector method for solving a system of fractional differential equations with uncertainty |
| title_full |
An eigenvalue-eigenvector method for solving a system of fractional differential equations with uncertainty |
| title_fullStr |
An eigenvalue-eigenvector method for solving a system of fractional differential equations with uncertainty |
| title_full_unstemmed |
An eigenvalue-eigenvector method for solving a system of fractional differential equations with uncertainty |
| title_sort |
eigenvalue-eigenvector method for solving a system of fractional differential equations with uncertainty |
| publisher |
Hindawi Publishing Corporation |
| publishDate |
2013 |
| url |
http://psasir.upm.edu.my/id/eprint/30074/1/An%20eigenvalue.pdf http://psasir.upm.edu.my/id/eprint/30074/ http://www.hindawi.com/journals/mpe/2013/579761/ |
| _version_ |
1643829949926211584 |
| score |
13.251813 |