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Multi-term time-fractional stochastic system with multiple delays in control

Author

Listed:
  • Raheem, A.
  • Afreen, A.
  • Khatoon, A.

Abstract

In the present paper, we study a multi-term time-fractional stochastic differential equation with multiple delays in control. We employ a general mild solution of the system, achieved by the generalization of the semigroup as a (α,γi)-resolvent family. An approach to transforming the controllability problem into a fixed point problem is developed to examine the controllability results. An example is given to illustrate the results.

Suggested Citation

  • Raheem, A. & Afreen, A. & Khatoon, A., 2023. "Multi-term time-fractional stochastic system with multiple delays in control," Chaos, Solitons & Fractals, Elsevier, vol. 167(C).
    • Handle: RePEc:eee:chsofr:v:167:y:2023:i:c:s0960077922011584
    DOI: 10.1016/j.chaos.2022.112979
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    References listed on IDEAS

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    1. Dhayal, Rajesh & Malik, Muslim, 2021. "Approximate controllability of fractional stochastic differential equations driven by Rosenblatt process with non-instantaneous impulses," Chaos, Solitons & Fractals, Elsevier, vol. 151(C).
    2. Afreen, A. & Raheem, A. & Khatoon, A., 2022. "Controllability of a second-order non-autonomous stochastic semilinear system with several delays in control," Chaos, Solitons & Fractals, Elsevier, vol. 155(C).
    3. Jerzy Klamka, 2020. "Controllability of Semilinear Systems with Multiple Variable Delays in Control," Mathematics, MDPI, vol. 8(11), pages 1-9, November.
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    Cited by:

    1. Chen, Weihao & Liu, Yansheng & Zhao, Daliang, 2024. "Approximate controllability for a class of stochastic impulsive evolution system with infinite delay involving the fractional substantial derivative," Chaos, Solitons & Fractals, Elsevier, vol. 182(C).

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