Development and application of models based on fractional diffusion

• Grant number: 13/05927-5
• Support Opportunities: Research Grants - Visiting Researcher Grant - International
• Start date: September 03, 2013
• End date: September 28, 2013
• Field of knowledge: Physical Sciences and Mathematics - Physics - Classical Areas of Phenomenology and Applications
• Principal Investigator: Edmundo Capelas de Oliveira
• Grantee: Edmundo Capelas de Oliveira
• Visiting researcher: Francesco Mainardi
• Visiting researcher institution: Università di Bologna, Italy
• Host Institution: Instituto de Matemática, Estatística e Computação Científica (IMECC). Universidade Estadual de Campinas (UNICAMP). Campinas , SP, Brazil

Abstract

The main objective of this project is the theoretical and numerical studies of scientific problems related to fractional and anomalousdiffusion and multifractal (multi-scaling) behaviour of complex systems. In particular, new directions in the stochastic modelling of Anomalous (Fractional) Diffusion will be explored based on high transcendental functions of the Mittag-Leffler and Wright type. (AU)

Scientific publications

(References retrieved automatically from Web of Science and SciELO through information on FAPESP grants and their corresponding numbers as mentioned in the publications by the authors)

DE OLIVEIRA, EDMUNDO CAPELAS; MAINARDI, FRANCESCO; VAZ, JAYME, JR.. Fractional models of anomalous relaxation based on the Kilbas and Saigo function. MECCANICA, v. 49, n. 9, p. 12-pg., 2014-09-01. (13/05927-5)

DE OLIVEIRA, EDMUNDO CAPELAS; MAINARDI, FRANCESCO; VAZ, JR., JAYME. Fractional models of anomalous relaxation based on the Kilbas and Saigo function. MECCANICA, v. 49, n. 9, SI, p. 2049-2060, SEP 2014. (13/05927-5)