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arXiv · 1708.08131

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

Kai Diethelm·Stefan Siegmund·H. T. Tuan
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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.

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Kai Diethelm, Stefan Siegmund, H. T. Tuan. 2017-08-27. Asymptotic behavior of solutions of linear multi-order fractional differential equation systems. https://doi.org/10.1515/fca-2017-0062

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