Ciprian Gal
Florida International University, Miami, Florida, USA

This talk provides the introduction to fractional diffusion processes and provides a unified analysis and scheme for the existence and uniqueness of strong and mild solutions to such fractional (in time) kinetic equations. This class of equations is characterized by the presence of a nonlinear time-dependent source, generally of arbitrary growth in the unknown function, a time derivative in the sense of Caputo and the presence of a large class of diffusion operators.