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Existence of the Mild Solution for Impulsive Neutral Stochastic Fractional Integro-Differential Inclusions with Nonlocal Conditions

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Abstract

This paper mainly concerns with the existence of a mild solution for impulsive neutral integro-differential inclusions with nonlocal conditions in a separable Hilbert space. Utilizing fixed point theorem for multi-valued operators due to Dhage, we establish the existence result with resolvent operator and η-norm. An illustrative example is provided to show the effectiveness of the established results.

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  1. Department of Mathematics, Indian Institute of Technology Roorkee, Roorkee, 247667, India

    Alka Chadha & Dwijendra N. Pandey

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  1. Alka Chadha
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  2. Dwijendra N. Pandey
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Correspondence to Dwijendra N. Pandey.

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Chadha, A., Pandey, D.N. Existence of the Mild Solution for Impulsive Neutral Stochastic Fractional Integro-Differential Inclusions with Nonlocal Conditions. Mediterr. J. Math. 13, 1005–1031 (2016). https://doi.org/10.1007/s00009-015-0558-7

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  • DOI: https://doi.org/10.1007/s00009-015-0558-7

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