Asymptotic behavior of solutions of linear multi-order fractional differential systems-Reference-Cited by-同舟云学术

Asymptotic behavior of solutions of linear multi-order fractional differential systems

Published:2017-10-01 Issue:5 Volume:20 Page:1165-1195
ISSN:1314-2224
Container-title:Fractional Calculus and Applied Analysis
language:en
Short-container-title:

Author:

Diethelm Kai¹²,Siegmund Stefan³,Tuan H.T.⁴

Affiliation:

1. GNS mbH Gesellschaft für numerische Simulation mbH Am Gaußberg, 2, 38114 , Braunschweig , Germany ,

2. AG Numerik, Institut Computational Mathematics , Technische Universität Braunschweig Universitätsplatz 2, 38106 , Braunschweig , Germany

3. Center for Dynamics & Institute for Analysis , Department of Mathematics , Technische Universität Dresden , 01062 , Dresden , Germany

4. Institute of Mathematics , Vietnam Academy of Science and Technology , 18 Hoang Quoc Viet, 10307 , Ha Noi , Viet Nam

Abstract

Abstract In this paper, we investigate some aspects of the qualitative theory for multi-order fractional differential equation systems. First, we obtain a fundamental result on the existence and uniqueness for multi-order fractional differential equation systems. Next, a representation of solutions of homogeneous linear multi-order fractional differential equation systems in series form is provided. Finally, we give characteristics regarding the asymptotic behavior of solutions to some classes of linear multi-order fractional differential equation systems.

Publisher

Walter de Gruyter GmbH

Subject

Applied Mathematics,Analysis

Link

https://www.degruyter.com/document/doi/10.1515/fca-2017-0062/pdf

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