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Extended midpoint method for solving fuzzy differential equations


Afsharinafar, Reza and Ismail, Fudziah and Hosseini, Seyedali Ahmadian (2012) Extended midpoint method for solving fuzzy differential equations. In: 2012 IEEE Symposium on Humanities, Science and Engineering Research (SHUSER 2012), 24-27 June 2012, Renaissance Hotel, Kuala Lumpur. (pp. 1579-1584).


We study fuzzy differential equations (FDEs) using the strongly generalized differentiability concept. Utilizing the characterization problem, we present approximate solutions of FDEs under Generalized differentiability by an equivalent system of ODEs. Then we extend midpoint approximation method and give its error, which guarantees pointwise convergence. An illustrative example is given.

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Additional Metadata

Item Type: Conference or Workshop Item (Paper)
Divisions: Faculty of Science
Institute for Mathematical Research
DOI Number: https://doi.org/10.1109/SHUSER.2012.6268842
Publisher: IEEE
Keywords: Fuzzy differential equations; Generalized differentiability; Generalized characterization theorem; Midpoint method
Depositing User: Nabilah Mustapa
Date Deposited: 04 Jul 2019 04:08
Last Modified: 04 Jul 2019 04:08
Altmetrics: http://www.altmetric.com/details.php?domain=psasir.upm.edu.my&doi=10.1109/SHUSER.2012.6268842
URI: http://psasir.upm.edu.my/id/eprint/69366
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