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...
| Main Authors: | , , , , , |
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| Format: | Article |
| Language: | English |
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Hindawi Publishing Corporation
2013
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| Online Access: | http://psasir.upm.edu.my/id/eprint/30388/1/30388.pdf |
| _version_ | 1825947697304043520 |
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| author | Ghaemi, Ferial Yunus, Robiah Ahmadian, Ali Salahshour, Soheil Suleiman, Mohamed Saleh, Shanti Faridah |
| author_facet | Ghaemi, Ferial Yunus, Robiah Ahmadian, Ali Salahshour, Soheil Suleiman, Mohamed Saleh, Shanti Faridah |
| author_sort | Ghaemi, Ferial |
| collection | UPM |
| 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. |
| first_indexed | 2024-03-06T08:17:25Z |
| format | Article |
| id | upm.eprints-30388 |
| institution | Universiti Putra Malaysia |
| language | English |
| last_indexed | 2024-03-06T08:17:25Z |
| publishDate | 2013 |
| publisher | Hindawi Publishing Corporation |
| record_format | dspace |
| spelling | 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 |
| 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 |
| title | 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_short | 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 |
| url | http://psasir.upm.edu.my/id/eprint/30388/1/30388.pdf |
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