Affiliation:
1. Faculty of Mathematics and Informatics University of Plovdiv Paisii Hilendarski 24 Tzar Asen, 4000 Plovdiv , Bulgaria
Abstract
Abstract
In the present work we study linear systems with distributed delays and distributed order fractional derivatives based on Caputo type single fractional derivatives, with respect to a nonnegative density function. For the initial problem of this kind of systems, existence, uniqueness and a priory estimate of the solution are proved. As an application of the obtained results, we establish sufficient conditions for global asymptotic stability of the zero solution of the investigated types of systems.
Subject
Applied Mathematics,Analysis
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