Disjoint Hypercyclic and Disjoint Topologically Mixing Properties of Degenerate Fractional Differential Equations

Abstract

© 2018, Allerton Press, Inc. The main purpose of this paper is to analyze the classes of disjoint hypercyclic and disjoint topologically mixing abstract degenerate (multi-term) fractional differential equations in Banach and Fréchet function spaces. We focus special attention on the analysis of abstract degenerate differential equations of first and second order, when we also consider disjoint chaos as a linear topological dynamical property. We provide several illustrative examples and applications of our abstract results.