08 Jun, 2018 · 12:00 al 08 Jun, 2018 · 13:00 Instituto de Matemáticas de la Universidad de Granada (IEMath-GR)
Seminario de Ecuaciones Diferenciales: “Fractional Calculus”
Conferencias, seminarios, divulgación científica
Conferenciante: Vajiheh Vafaei (University of Tabriz, Irán).
Resumen: As a branch of mathematics, fractional calculus is a generalization of differentiation and integration to arbitrary (non-integer) orders. The concept of fractional-order calculus can be traced to the early work of Leibniz and L’Hospital in 1695, but it has attracted lots of attention from physicians and engineers in recent years. Many systems in in- terdisciplinary fields can be accurately modelled by fractional-order differential equations, such as viscoelastic systems, dielectric polariza- tion, quantitative finance, nonlinear oscillation of earthquakes, robotic manipulating systems, muscular blood vessel model, hydrologic models and so on. In this talk, I will discuss about Riemann-Liouville differential and integral operators and Caputo fractional derivative. Then, I will talk about fractional-order dynamical systems defined by differential operators of Caputo type.