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Finite-Approximate Controllability of Impulsive Fractional Functional Evolution Equations of Order $$1

Author

Listed:
  • Sumit Arora

    (Indian Institute of Technology Roorkee-IIT Roorkee)

  • Manil T. Mohan

    (Indian Institute of Technology Roorkee-IIT Roorkee)

  • Jaydev Dabas

    (Indian Institute of Technology Roorkee-IIT Roorkee)

Abstract

In this manuscript, we study the finite-approximate controllability of impulsive fractional functional evolution equations of order $$1

Suggested Citation

  • Sumit Arora & Manil T. Mohan & Jaydev Dabas, 2023. "Finite-Approximate Controllability of Impulsive Fractional Functional Evolution Equations of Order $$1," Journal of Optimization Theory and Applications, Springer, vol. 197(3), pages 855-890, June.
    • Handle: RePEc:spr:joptap:v:197:y:2023:i:3:d:10.1007_s10957-023-02205-4
    DOI: 10.1007/s10957-023-02205-4
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    References listed on IDEAS

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    1. Nazim I. Mahmudov, 2020. "Variational Approach to Finite-Approximate Controllability of Sobolev-Type Fractional Systems," Journal of Optimization Theory and Applications, Springer, vol. 184(2), pages 671-686, February.
    2. Jia Wei He & Yong Liang & Bashir Ahmad & Yong Zhou, 2019. "Nonlocal Fractional Evolution Inclusions of Order α ∈ (1,2)," Mathematics, MDPI, vol. 7(2), pages 1-17, February.
    3. Agata Grudzka & Krzysztof Rykaczewski, 2015. "On Approximate Controllability of Functional Impulsive Evolution Inclusions in a Hilbert Space," Journal of Optimization Theory and Applications, Springer, vol. 166(2), pages 414-439, August.
    4. 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).
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    Cited by:

    1. Rodrigo Ponce, 2024. "Approximate Controllability of Abstract Discrete Fractional Systems of Order $$1," Journal of Optimization Theory and Applications, Springer, vol. 203(1), pages 359-385, October.
    2. Abdelhamid Bensalem & Abdelkrim Salim & Mouffak Benchohra & Michal Fečkan, 2023. "Approximate Controllability of Neutral Functional Integro-Differential Equations with State-Dependent Delay and Non-Instantaneous Impulses," Mathematics, MDPI, vol. 11(7), pages 1-17, March.

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