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

Muslim Malik, V. Vijayakumar and Anurag Shukla

Chaos, Solitons & Fractals, 2023, vol. 175, issue P1

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.

Keywords: Discrete-time; Approximate controllability; C0-semigroups; α-Resolvent sequences (search for similar items in EconPapers)
Date: 2023
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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:175:y:2023:i:p1:s0960077923008603

DOI: 10.1016/j.chaos.2023.113959

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