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...
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| Main Authors: | , , , , , |
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| Format: | Article |
| Language: | English |
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Wiley
2013-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2013/610314 |
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| author | Ferial Ghaemi Robiah Yunus Ali Ahmadian Soheil Salahshour Mohamed Suleiman Shanti Faridah Saleh |
| author_facet | Ferial Ghaemi Robiah Yunus Ali Ahmadian Soheil Salahshour Mohamed Suleiman Shanti Faridah Saleh |
| author_sort | Ferial Ghaemi |
| collection | DOAJ |
| 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 |
| id | doaj-art-7e33a76d189445eca1b204e280301763 |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2013-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-7e33a76d189445eca1b204e2803017632025-02-03T05:58:36ZengWileyAbstract and Applied Analysis1085-33751687-04092013-01-01201310.1155/2013/610314610314Application of Fuzzy Fractional Kinetic Equations to Modelling of the Acid Hydrolysis ReactionFerial Ghaemi0Robiah Yunus1Ali Ahmadian2Soheil Salahshour3Mohamed Suleiman4Shanti Faridah Saleh5Institute of Advanced Technology, Universiti Putra Malaysia (UPM), 43400 Serdang, Selangor, MalaysiaInstitute of Advanced Technology, Universiti Putra Malaysia (UPM), 43400 Serdang, Selangor, MalaysiaInstitute of Advanced Technology, Universiti Putra Malaysia (UPM), 43400 Serdang, Selangor, MalaysiaYoung Researchers and Elite Club, Mobarakeh Branch, Islamic Azad University, P.O. Box 9189945, Mobarakeh, IranInstitute for Mathematical Research, Universiti Putra Malaysia (UPM), 43400 Serdang, Selangor, MalaysiaDepartment of Chemical and Environmental Engineering, Faculty of Engineering, Universiti Putra Malaysia (UPM), 43400 Serdang, Selangor, MalaysiaIn 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.http://dx.doi.org/10.1155/2013/610314 |
| spellingShingle | Ferial Ghaemi Robiah Yunus Ali Ahmadian Soheil Salahshour Mohamed Suleiman Shanti Faridah Saleh Application of Fuzzy Fractional Kinetic Equations to Modelling of the Acid Hydrolysis Reaction Abstract and Applied Analysis |
| 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://dx.doi.org/10.1155/2013/610314 |
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