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arxiv: 1602.04695 · v2 · pith:HEAHO2PAnew · submitted 2016-02-15 · 🧮 math.CA

A Perron-type theorem for fractional linear differential systems

classification 🧮 math.CA
keywords boundeddifferentialfractionallinearsystemsconditiondecaydescription
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We give a necessary and sufficient condition for a system of linear inhomogeneous fractional differential equations to have at least one bounded solution. We also obtain an explicit description for the set of all bounded (or decay) solutions for these systems.

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