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Controllability of nonlinear stochastic fractional neutral systems with multiple time varying delays in control

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  • Lizzy, R. Mabel
  • Balachandran, Krishnan
  • Trujillo, Juan J.

Abstract

Sufficient conditions for relative controllability of stochastic fractional neutral systems with bounded operator and multiple time varying delay in the control are obtained. The result is proved using an equivalent nonlinear integral equation to the system and Banach contraction principle. The controllability results are derived for systems with both Wiener and systems with Le´vy noise.

Suggested Citation

  • Lizzy, R. Mabel & Balachandran, Krishnan & Trujillo, Juan J., 2017. "Controllability of nonlinear stochastic fractional neutral systems with multiple time varying delays in control," Chaos, Solitons & Fractals, Elsevier, vol. 102(C), pages 162-167.
    • Handle: RePEc:eee:chsofr:v:102:y:2017:i:c:p:162-167
    DOI: 10.1016/j.chaos.2017.04.024
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    References listed on IDEAS

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    1. K. Balachandran & J.P. Dauer, 2002. "Controllability of Nonlinear Systems in Banach Spaces: A Survey," Journal of Optimization Theory and Applications, Springer, vol. 115(1), pages 7-28, October.
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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).
    2. Vikram Singh & Dwijendra N. Pandey, 2020. "Exact Controllability of Multi-Term Time-Fractional Differential System with Sequencing Techniques," Indian Journal of Pure and Applied Mathematics, Springer, vol. 51(1), pages 105-120, March.

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