Display Abstract

Title Fractional differential equations with uncertainty

Name Juan J Nieto
Country Spain
Email juanjose.nieto.roig@usc.es
Co-Author(s)
Submit Time 2014-01-28 11:14:27
Session
Special Session 125: Abstract Differential Equations and Related Topics
Contents
Differential equations of fractional order have recently proved to be valuable tools in the modeling of many physical and biological phenomena. There has also been a significant theoretical development in fractional differential equations in recent years. To model uncertainty, due to the imprecision inherent to the information available or the behavior of the dynamical system itself, it is useful the introduction of fuzzy sets in the model allowing a better description of the uncertainty in mathematical terms. We consider a fractional order differential equation with uncertainty. One of the approaches will be the use of a recent generalization of the classical Schauder Fixed Point Theorem to semilinear spaces.