Abstract
This paper mainly concerns the existence of a mild solution for a neutral stochastic fractional integro-differential inclusion of order $1\lt \beta \lt 2$ with a nonlocal con\-dition in a separable Hilbert space. Utilizing the fixed point theorem for multi-valued operators due to O' Regan, we establish an existence result involving a $\beta $-resolvent operator. An illustrative example is provided to show the effectiveness of the established results.
Citation
Alka Chadha. D. Bahuguna. Dwijendra N. Pandey. "Existence of a mild solution for a neutral stochastic fractional integro-differential inclusion with a nonlocal condition." J. Integral Equations Applications 30 (2) 257 - 291, 2018. https://doi.org/10.1216/JIE-2018-30-2-257
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