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Extended midpoint method for solving fuzzy differential equations

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 an...

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Main Authors: Afsharinafar, Reza, Ismail, Fudziah, Hosseini, Seyedali Ahmadian
Format: Conference or Workshop Item
Language:English
Published: IEEE 2012
Online Access:http://psasir.upm.edu.my/id/eprint/69366/1/Extended%20midpoint%20method%20for%20solving%20fuzzy%20differential%20equations.pdf
http://psasir.upm.edu.my/id/eprint/69366/
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spelling my.upm.eprints.693662019-07-04T04:08:29Z http://psasir.upm.edu.my/id/eprint/69366/ Extended midpoint method for solving fuzzy differential equations Afsharinafar, Reza Ismail, Fudziah Hosseini, Seyedali Ahmadian 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. IEEE 2012 Conference or Workshop Item PeerReviewed text en http://psasir.upm.edu.my/id/eprint/69366/1/Extended%20midpoint%20method%20for%20solving%20fuzzy%20differential%20equations.pdf 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). 10.1109/SHUSER.2012.6268842
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
description 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.
format Conference or Workshop Item
author Afsharinafar, Reza
Ismail, Fudziah
Hosseini, Seyedali Ahmadian
spellingShingle Afsharinafar, Reza
Ismail, Fudziah
Hosseini, Seyedali Ahmadian
Extended midpoint method for solving fuzzy differential equations
author_facet Afsharinafar, Reza
Ismail, Fudziah
Hosseini, Seyedali Ahmadian
author_sort Afsharinafar, Reza
title Extended midpoint method for solving fuzzy differential equations
title_short Extended midpoint method for solving fuzzy differential equations
title_full Extended midpoint method for solving fuzzy differential equations
title_fullStr Extended midpoint method for solving fuzzy differential equations
title_full_unstemmed Extended midpoint method for solving fuzzy differential equations
title_sort extended midpoint method for solving fuzzy differential equations
publisher IEEE
publishDate 2012
url http://psasir.upm.edu.my/id/eprint/69366/1/Extended%20midpoint%20method%20for%20solving%20fuzzy%20differential%20equations.pdf
http://psasir.upm.edu.my/id/eprint/69366/
_version_ 1643839472216834048
score 13.209306

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