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Existence results systems coupled impulsive neutral stochastic functional differential equations with the measure of noncompactness

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Abstract

This paper is devoted to study the existence of solutions for a class of mild solutions for a class of impulsive neutral stochastic functional differential equations driven fractional Brownian motion (fBm) with noncompact semigroup in Hilbert spaces. The new results are obtained by using the Hausdorff measure of noncompactness. The arguments are based upon Mönch’s fixed point theorem. Finally, an example is provided to illustrate the developed theory.

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Authors and Affiliations

  1. Department of Mathematics and Computer Science, University of Adrar, National Road No. 06, 01000, Adrar, Algeria

    A. Boudaoui

  2. Departement of Mathematics, Usto University, PoBox 31000, Oran, Algeria

    T. Blouhi

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  1. A. Boudaoui
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  2. T. Blouhi
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Correspondence to A. Boudaoui.

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Boudaoui, A., Blouhi, T. Existence results systems coupled impulsive neutral stochastic functional differential equations with the measure of noncompactness. Afr. Mat. 30, 1067–1091 (2019). https://doi.org/10.1007/s13370-019-00703-1

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  • DOI: https://doi.org/10.1007/s13370-019-00703-1

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