- Research Grants
|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|
|Home Institution:||Faculdade de Ciências Agronômicas (FCA). Universidade Estadual Paulista (UNESP). Campus de Botucatu. Botucatu , SP, Brazil|
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.