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


Citation

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

Abstract / Synopsis

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.


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Additional Metadata

Item Type: Article
Divisions: Faculty of Engineering
Faculty of Science
Institute for Mathematical Research
Institute of Advanced Technology
DOI Number: https://doi.org/10.1155/2013/610314
Publisher: Hindawi Publishing Corporation
Keywords: Fuzzy fractional; Kinetics study; Hydrolysis
Depositing User: Umikalthom Abdullah
Date Deposited: 24 Oct 2014 11:23
Last Modified: 19 Oct 2017 16:04
Altmetrics: http://www.altmetric.com/details.php?domain=psasir.upm.edu.my&doi=10.1155/2013/610314
URI: http://psasir.upm.edu.my/id/eprint/30388
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