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A note on the approximate controllability of Sobolev type fractional stochastic integro-differential delay inclusions with order 1

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  • Dineshkumar, C.
  • Udhayakumar, R.
  • Vijayakumar, V.
  • Nisar, Kottakkaran Sooppy
  • Shukla, Anurag

Abstract

In this manuscript, we mainly focus on the approximate controllability of Sobolev type fractional stochastic integro-differential delay inclusions with order 1

Suggested Citation

  • Dineshkumar, C. & Udhayakumar, R. & Vijayakumar, V. & Nisar, Kottakkaran Sooppy & Shukla, Anurag, 2021. "A note on the approximate controllability of Sobolev type fractional stochastic integro-differential delay inclusions with order 1," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 190(C), pages 1003-1026.
    • Handle: RePEc:eee:matcom:v:190:y:2021:i:c:p:1003-1026
    DOI: 10.1016/j.matcom.2021.06.026
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    References listed on IDEAS

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    3. Raja, M. Mohan & Vijayakumar, V. & Udhayakumar, R. & Zhou, Yong, 2020. "A new approach on the approximate controllability of fractional differential evolution equations of order 1 < r < 2 in Hilbert spaces," Chaos, Solitons & Fractals, Elsevier, vol. 141(C).
    4. Michał Kisielewicz, 2013. "Stochastic Differential Inclusions and Applications," Springer Optimization and Its Applications, Springer, edition 127, number 978-1-4614-6756-4, December.
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    6. Raja, M. Mohan & Vijayakumar, V. & Udhayakumar, R., 2020. "Results on the existence and controllability of fractional integro-differential system of order 1 < r < 2 via measure of noncompactness," Chaos, Solitons & Fractals, Elsevier, vol. 139(C).
    7. Zufeng Zhang & Bin Liu, 2012. "Existence Results of Nondensely Defined Fractional Evolution Differential Inclusions," Journal of Applied Mathematics, Hindawi, vol. 2012, pages 1-19, June.
    8. Raja, M. Mohan & Vijayakumar, V. & Udhayakumar, R., 2020. "A new approach on approximate controllability of fractional evolution inclusions of order 1 < r < 2 with infinite delay," Chaos, Solitons & Fractals, Elsevier, vol. 141(C).
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    Cited by:

    1. Mohan Raja, M. & Vijayakumar, V., 2022. "Existence results for Caputo fractional mixed Volterra-Fredholm-type integrodifferential inclusions of order r ∈ (1,2) with sectorial operators," Chaos, Solitons & Fractals, Elsevier, vol. 159(C).
    2. Shukla, Anurag & Vijayakumar, V. & Nisar, Kottakkaran Sooppy, 2022. "A new exploration on the existence and approximate controllability for fractional semilinear impulsive control systems of order r∈(1,2)," Chaos, Solitons & Fractals, Elsevier, vol. 154(C).
    3. Dineshkumar, C. & Udhayakumar, R. & Vijayakumar, V. & Nisar, Kottakkaran Sooppy & Shukla, Anurag, 2022. "A note concerning to approximate controllability of Atangana-Baleanu fractional neutral stochastic systems with infinite delay," Chaos, Solitons & Fractals, Elsevier, vol. 157(C).
    4. Dineshkumar, Chendrayan & Jeong, Jae Hoon & Joo, Young Hoon, 2024. "Stochastic exponential stabilization and optimal control results for a class of fractional order equations," Chaos, Solitons & Fractals, Elsevier, vol. 185(C).
    5. Dineshkumar, C. & Udhayakumar, R. & Vijayakumar, V. & Shukla, Anurag & Nisar, Kottakkaran Sooppy, 2021. "A note on approximate controllability for nonlocal fractional evolution stochastic integrodifferential inclusions of order r∈(1,2) with delay," Chaos, Solitons & Fractals, Elsevier, vol. 153(P1).
    6. Zhang, Chuanlin & Ye, Guoju & Liu, Wei & Liu, Xuelong, 2024. "On controllability for Sobolev-type fuzzy Hilfer fractional integro-differential inclusions with Clarke subdifferential," Chaos, Solitons & Fractals, Elsevier, vol. 183(C).
    7. Haq, Abdul, 2022. "Partial-approximate controllability of semi-linear systems involving two Riemann-Liouville fractional derivatives," Chaos, Solitons & Fractals, Elsevier, vol. 157(C).
    8. Mei-Qi, Wang & Wen-Li, Ma & En-Li, Chen & Yu-Jian, Chang & Cui-Yan, Wang, 2022. "Principal resonance analysis of piecewise nonlinear oscillator with fractional calculus," Chaos, Solitons & Fractals, Elsevier, vol. 154(C).

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