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Fractional differential equations in Chemical Engineering

Grant number: 16/05981-8
Support type:Scholarships in Brazil - Scientific Initiation
Effective date (Start): July 01, 2016
Effective date (End): January 31, 2018
Field of knowledge:Physical Sciences and Mathematics - Mathematics - Applied Mathematics
Principal researcher:Eliana Contharteze Grigoletto
Grantee:Rafael Pinatti
Home Institution: Faculdade de Ciências Agronômicas (FCA). Universidade Estadual Paulista (UNESP). Campus de Botucatu. Botucatu , SP, Brazil

Abstract

The anomalous diffusion process of transport of particles and granular materials that occurs in different chemical reactions will be described through the fractional version of the Fokker-Planck equation. The anomalous diffusion is related to the description of basic random walk models in complex systems: polymers, biopolymers, proteins, organisms, among others. This type of diffusion is best characterized by a fractional differential equation, which represents a generalization of integer order differential equations. The description of anomalous transport by the fractional differential equations is a very important issue for many fields. In particular, presents numerous applications of modeling for the non-Markovian diffusion dynamics of the protein. One of the major objectives of this project is to find solutions in terms of the Mittag-Leffler functions to the mathematical modeling applied to chemical engineering systems through fractional differential equations by using fractional derivative with respect to the time variable according to Caputo.

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