| 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 |
| Principal Investigator: | 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 represent a generalization of integer order differential equation. The description of anomalous transport by fractional differential equation is a very important issue for many fields. In particular, presents numerous applications of modeling for the non-Markovian diffusion dynamics of protein. One of the major objectives of this project is to find solutions in terms of the Mittag-Leffler functions to the mathematical modelling applied to chemical engineering systems through of fractional differential equations by using fractional derivative with respect to the time variable according to Caputo. | |