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Asymptotic properties of fractional delay differential equations |
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| Authors: | Katja Krol |
| Institution: | Institut für Mathematik, Humboldt-Universität zu Berlin, Unter den Linden 6, 10099 Berlin, Germany |
| Abstract: | In this paper we study the asymptotic properties of d-dimensional linear fractional differential equations with time delay. We present necessary and sufficient conditions for asymptotic stability of equations of this type using the inverse Laplace transform method and prove polynomial decay of stable solutions. Two examples illustrate the obtained analytical results. |
| Keywords: | Fractional differential equations Delay differential equations Linear equations Asymptotic stability Laplace transform Polynomial decay Exact convergence rate |
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