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On a set-valued Young integral with applications to differential inclusions - MaRDI portal

On a set-valued Young integral with applications to differential inclusions (Q831466)

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On a set-valued Young integral with applications to differential inclusions
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    On a set-valued Young integral with applications to differential inclusions (English)
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    23 March 2022
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    In this paper, a new Aumann-like integral for a Hölder multifunction with respect to a Hölder signal, based on the Young integral of a particular set of Hölder selections, is proposed. Several concrete examples of first order and second order stochastic differential inclusions directed by fractional Brownian motion are provided.
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    set-valued integral
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    Aumann integral
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    Young integral
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