Annales Universitatis Paedagogicae Cracoviensis: Studia Mathematica (Jul 2021)
Examples of non connective C*-algebras
Abstract
This paper investigates the problem of the existence and uniqueness of solutions under the generalized self-similar forms to the space-fractional diffusion equation. Therefore, through applying the properties of Schauder's and Banach's fixed point theorems; we establish several results on the global existence and blow-up of generalized self-similar solutions to this equation.