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

  • 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.

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Metadaten
Author:Kai Diethelm, Stefan Siegmund, Hoang The Tuan
DOI:https://doi.org/10.1515/fca-2017-0062
Parent Title (English):Fractional Calculus and Applied Analysis
Document Type:Article
Language:English
Year of publication:2017
Release Date:2023/08/10
Volume:20
First Page:1165
Last Page:1195
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