Space-time fractional heat conduction equation

• Grant number: 19/07262-7
• Support Opportunities: Scholarships in Brazil - Scientific Initiation
• Start date: August 01, 2019
• End date: July 31, 2020
• Field of knowledge: Physical Sciences and Mathematics - Mathematics - Applied Mathematics
• Principal Investigator: Eliana Contharteze Grigoletto
• Grantee: Daniela Pires de Moraes
• Host Institution: Faculdade de Ciências Agronômicas (FCA). Universidade Estadual Paulista (UNESP). Campus de Botucatu. Botucatu , SP, Brazil

Abstract

Problems of interdisciplinary research that can be modeled by fractional derivatives are discussed in different fields such as medical science, engineering, chemistry and physics, as we have seen in recent studies. The fractional diffusion equation, which models anomalous diffusive phenomena, is a generalization of the classical diffusion equation. In this project, we intend to solve the more general time-space fractional heat conduction equation in one-dimensional unbounded space and investigate the solution by means of the discrete Fourier transform, whose implementation will be performed in MATLAB software. We intend to apply the study in a particular time-space fractional for the Stefan problem.