An eigenvalue-eigenvector method for solving a system of fractional differential equations with uncertainty

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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Main Authors: Shahriyar, M. R. Balooch, Ismail, Fudziah, Aghabeigi, S., Ahmadian, Ali, Salahshour, S.
Format: Article
Language:English
English
Published: Hindawi Publishing Corporation 2013
Online Access: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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Institution: Universiti Putra Malaysia
Language: English
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id my.upm.eprints.30074
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spelling 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
institution Universiti Putra Malaysia
building UPM Library
collection Institutional Repository
continent Asia
country Malaysia
content_provider Universiti Putra Malaysia
content_source UPM Institutional Repository
url_provider http://psasir.upm.edu.my/
language 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

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