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Controllability of discrete-time semilinear Riemann–Liouville-like fractional equations

Author

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  • Malik, Muslim
  • Vijayakumar, V.
  • Shukla, Anurag

Abstract

This article utilizes the Riemann–Liouville-like fractional operator to investigate certain sufficient conditions for the approximate controllability of discrete-time fractional evolution equations. We describe our main results utilizing a sequential approach, the theory of difference equations, and the connection between a class of sequences of operators and C0-semigroups. On the nonlinear term, we impose the Lipschitz-type condition. Finally, a few examples are provided to demonstrate how the outcomes might be used.

Suggested Citation

  • Malik, Muslim & Vijayakumar, V. & Shukla, Anurag, 2023. "Controllability of discrete-time semilinear Riemann–Liouville-like fractional equations," Chaos, Solitons & Fractals, Elsevier, vol. 175(P1).
    • Handle: RePEc:eee:chsofr:v:175:y:2023:i:p1:s0960077923008603
    DOI: 10.1016/j.chaos.2023.113959
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    References listed on IDEAS

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    1. Haq, Abdul, 2022. "Partial-approximate controllability of semi-linear systems involving two Riemann-Liouville fractional derivatives," Chaos, Solitons & Fractals, Elsevier, vol. 157(C).
    2. Haq, Abdul & Sukavanam, N., 2020. "Existence and approximate controllability of Riemann-Liouville fractional integrodifferential systems with damping," Chaos, Solitons & Fractals, Elsevier, vol. 139(C).
    3. Carlos Lizama, 2015. "l p -maximal regularity for fractional difference equations on UMD spaces," Mathematische Nachrichten, Wiley Blackwell, vol. 288(17-18), pages 2079-2092, December.
    4. Haq, Abdul & Sukavanam, N., 2022. "Existence and partial approximate controllability of nonlinear Riemann–Liouville fractional systems of higher order," Chaos, Solitons & Fractals, Elsevier, vol. 165(P1).
    Full references (including those not matched with items on IDEAS)

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