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


Citation

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

Abstract

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.


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Official URL or Download Paper: http://www.hindawi.com/journals/mpe/2013/579761/

Additional Metadata

Item Type: Article
Divisions: Faculty of Science
Institute for Mathematical Research
DOI Number: https://doi.org/10.1155/2013/579761
Publisher: Hindawi Publishing Corporation
Keywords: Differentiability; Fractional differential equations; Fuzzy-valued function; Initial conditions.
Depositing User: Umikalthom Abdullah
Date Deposited: 25 Jun 2014 01:32
Last Modified: 17 Feb 2016 01:43
Altmetrics: http://www.altmetric.com/details.php?domain=psasir.upm.edu.my&doi=10.1155/2013/579761
URI: http://psasir.upm.edu.my/id/eprint/30074
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