Existence of Mild Solutions for Impulsive Fractional Stochastic Differential Inclusions with State-Dependent Delay | Zendy

Toufik Guendouzi | Zendy; Ouahiba Benzatout | Zendy

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Existence of Mild Solutions for Impulsive Fractional Stochastic Differential Inclusions with State-Dependent Delay

Author(s) -

Toufik Guendouzi,

Ouahiba Benzatout

Publication year - 2014

Publication title -

chinese journal of mathematics

Language(s) - English

Resource type - Journals

ISSN - 2314-8071

DOI - 10.1155/2014/981714

Subject(s) - differential inclusion , mathematics , nonlinear system , state dependent , state (computer science) , class (philosophy) , type (biology) , differential (mechanical device) , stochastic differential equation , mathematical analysis , physics , computer science , mathematical economics , thermodynamics , algorithm , ecology , quantum mechanics , artificial intelligence , biology

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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