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A note on existence and exact controllability of fractional stochastic system with finite delay

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Abstract

This paper is concerned with the existence and exact controllability results for a class of nonlocal stochastic fractional differential equation employed with finite delay in a separable Hilbert space. The results are derived by utilizing the measure of noncompactness, semigroup theory, Monch’s condition, and the stochastic analysis approaches. We include an example at the end to illustrate our main findings.

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Authors and Affiliations

  1. Department of Mathematics and Scientific Computing, National Institute of Technology Hamirpur, Hamirpur, H. P., 177005, India

    Om Prakash Kumar Sharma & Ramesh Kumar Vats

  2. Department of Mathematics, Graphic Era Hill University, Dehradun, U.K., 248002, India

    Ankit Kumar

Authors
  1. Om Prakash Kumar Sharma
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  2. Ramesh Kumar Vats
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  3. Ankit Kumar
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Contributions

OPKS involved in writing—original drafting; RKV involved in supervision and writing—review , editing; AK involved in conceptualization, writing—review , editing, and formal analysis.

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Correspondence to Om Prakash Kumar Sharma.

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Sharma, O.P.K., Vats, R.K. & Kumar, A. A note on existence and exact controllability of fractional stochastic system with finite delay. Int. J. Dynam. Control 12, 180–189 (2024). https://doi.org/10.1007/s40435-023-01258-7

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  • DOI: https://doi.org/10.1007/s40435-023-01258-7

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