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Existence of mild solutions for impulsive fractional stochastic differential inclusions with state-dependent delay - MaRDI portal

Existence of mild solutions for impulsive fractional stochastic differential inclusions with state-dependent delay (Q463280)

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scientific article; zbMATH DE number 6356680
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Existence of mild solutions for impulsive fractional stochastic differential inclusions with state-dependent delay
scientific article; zbMATH DE number 6356680

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    Existence of mild solutions for impulsive fractional stochastic differential inclusions with state-dependent delay (English)
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    16 October 2014
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    Summary: We study the existence of mild solutions for a class of impulsive fractional stochastic differential inclusions with state-dependent delay. Sufficient conditions for the existence of solutions are derived by using the nonlinear alternative of Leray-Schauder type for multivalued maps due to O'Regan. An example is given to illustrate the theory.
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    nonlinear alternative of Leray-Schauder type
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