Fractional differential equations in Chemical Engineering

• Grant number: 16/05981-8
• Support Opportunities: Scholarships in Brazil - Scientific Initiation
• Start date: July 01, 2016
• End date: January 31, 2018
• Field of knowledge: Physical Sciences and Mathematics - Mathematics - Applied Mathematics
• Principal Investigator: Eliana Contharteze Grigoletto
• Grantee: Rafael Pinatti
• Host 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.