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EXISTENCE OF SOLUTIONS FOR NONLINEAR FRACTIONAL IMPULSIVE STOCHASTIC DIFFERENTIAL EQUATIONS WITH NONLOCAL CONDITIONS AND INFINITE DELAY

Abdeldjalil Slama, Ahmed Boudaoui

Abstract


This paper is concerned with the existence of mild solutions for fractional stochastic impulsive  functional infinite delay integrodifferential systems with nonlocal initial conditions in Hilbert spaces. Using fractional calculations, fixed point technique, stochastic analysis theory and methods adopted directly from deterministic fractional equations, new set of sufficient conditions are formulated and proved for the existence of mild solutions for the fractional impulsive stochastic differential equation with nonlocal conditions and  infinite delay.

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