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

By Kai Diethelm, Stefan Siegmund, Hoang The Tuan. 2017

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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.

Subfields: Applied Mathematics, Control and Systems Engineering, Modeling and Simulation

View Paper: https://www.semanticscholar.org/paper/3e40852e89d9f02b7e242c2be530be8ceab3a0f8