A sufficient condition of viability for fractional differential equations with the Caputo derivative |
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| Authors: | Ewa Girejko Ma?gorzata Wyrwas |
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| Affiliation: | Faculty of Computer Science, Department of Mathematics, Bia?ystok University of Technology, Wiejska 45A, 15-351 Bia?ystok, Poland |
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| Abstract: | In this paper viability results for nonlinear fractional differential equations with the Caputo derivative are proved. We give the sufficient condition that guarantees fractional viability of a locally closed set with respect to nonlinear function. As an example we discuss positivity of solutions, particularly in linear case. |
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| Keywords: | Viability Fractional derivative Fractional differential equation |
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