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Application of fuzzy fractional kinetic equations to modelling of the acid hydrolysis reaction

In view of the usefulness and a great importance of the kinetic equation in specific chemical engineering problems, we discuss the numerical solution of a simple fuzzy fractional kinetic equation applied for the hemicelluloses hydrolysis reaction. The fuzzy approximate solution is derived based on t...

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Main Authors: Ghaemi, Ferial, Yunus, Robiah, Ahmadian, Ali, Salahshour, Soheil, Suleiman, Mohamed, Saleh, Shanti Faridah
Format: Article
Language:English
Published: Hindawi Publishing Corporation 2013
Online Access:http://psasir.upm.edu.my/id/eprint/30388/1/30388.pdf
http://psasir.upm.edu.my/id/eprint/30388/
https://www.hindawi.com/journals/aaa/2013/610314/abs/
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spelling my.upm.eprints.303882017-10-19T08:04:15Z http://psasir.upm.edu.my/id/eprint/30388/ Application of fuzzy fractional kinetic equations to modelling of the acid hydrolysis reaction Ghaemi, Ferial Yunus, Robiah Ahmadian, Ali Salahshour, Soheil Suleiman, Mohamed Saleh, Shanti Faridah In view of the usefulness and a great importance of the kinetic equation in specific chemical engineering problems, we discuss the numerical solution of a simple fuzzy fractional kinetic equation applied for the hemicelluloses hydrolysis reaction. The fuzzy approximate solution is derived based on the Legendre polynomials to the fuzzy fractional equation calculus. Moreover, the complete error analysis is explained based on the application of fuzzy Caputo fractional derivative. The main advantage of the present method is its superior accuracy which is obtained by using a limited number of Legendre polynomials. The method is computationally interesting, and the numerical results demonstrate the effectiveness and validity of the method for solving fuzzy fractional differential equations. Hindawi Publishing Corporation 2013 Article PeerReviewed application/pdf en http://psasir.upm.edu.my/id/eprint/30388/1/30388.pdf Ghaemi, Ferial and Yunus, Robiah and Ahmadian, Ali and Salahshour, Soheil and Suleiman, Mohamed and Saleh, Shanti Faridah (2013) Application of fuzzy fractional kinetic equations to modelling of the acid hydrolysis reaction. Abstract and Applied Analysis, 2013. art. no. 610314. pp. 1-19. ISSN 1085-3375; ESSN: 1687-0409 https://www.hindawi.com/journals/aaa/2013/610314/abs/ 10.1155/2013/610314
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 In view of the usefulness and a great importance of the kinetic equation in specific chemical engineering problems, we discuss the numerical solution of a simple fuzzy fractional kinetic equation applied for the hemicelluloses hydrolysis reaction. The fuzzy approximate solution is derived based on the Legendre polynomials to the fuzzy fractional equation calculus. Moreover, the complete error analysis is explained based on the application of fuzzy Caputo fractional derivative. The main advantage of the present method is its superior accuracy which is obtained by using a limited number of Legendre polynomials. The method is computationally interesting, and the numerical results demonstrate the effectiveness and validity of the method for solving fuzzy fractional differential equations.
format Article
author Ghaemi, Ferial
Yunus, Robiah
Ahmadian, Ali
Salahshour, Soheil
Suleiman, Mohamed
Saleh, Shanti Faridah
spellingShingle Ghaemi, Ferial
Yunus, Robiah
Ahmadian, Ali
Salahshour, Soheil
Suleiman, Mohamed
Saleh, Shanti Faridah
Application of fuzzy fractional kinetic equations to modelling of the acid hydrolysis reaction
author_facet Ghaemi, Ferial
Yunus, Robiah
Ahmadian, Ali
Salahshour, Soheil
Suleiman, Mohamed
Saleh, Shanti Faridah
author_sort Ghaemi, Ferial
title Application of fuzzy fractional kinetic equations to modelling of the acid hydrolysis reaction
title_short Application of fuzzy fractional kinetic equations to modelling of the acid hydrolysis reaction
title_full Application of fuzzy fractional kinetic equations to modelling of the acid hydrolysis reaction
title_fullStr Application of fuzzy fractional kinetic equations to modelling of the acid hydrolysis reaction
title_full_unstemmed Application of fuzzy fractional kinetic equations to modelling of the acid hydrolysis reaction
title_sort application of fuzzy fractional kinetic equations to modelling of the acid hydrolysis reaction
publisher Hindawi Publishing Corporation
publishDate 2013
url http://psasir.upm.edu.my/id/eprint/30388/1/30388.pdf
http://psasir.upm.edu.my/id/eprint/30388/
https://www.hindawi.com/journals/aaa/2013/610314/abs/
_version_ 1643830043991867392
score 13.211869

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