Results on finite time stability of various fractional order systems

Sumati Kumari Panda and Velusamy Vijayakumar

Chaos, Solitons & Fractals, 2023, vol. 174, issue C

Abstract: This article deals with the existence of the solution of Hilfer–Katugampola fractional derivatives, and we prove the stability results of the equilibrium point of the presented problem. Numerous authors have made substantial use of the concepts of fractional derivatives and fixed-point theory in order to produce stability results in neural networks containing complex-valued or real-valued inputs. In this connection, we discuss the finite stability of Caputo fractional derivatives as well as Caputo fractional-order complex-valued neural networks. We provide a numerical result that supports the theoretical discussion.

Keywords: Hilfer–Katugampola fractional derivative; Fractional-order complex-valued neural networks; Equilibrium point and stability (search for similar items in EconPapers)
Date: 2023
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Citations: View citations in EconPapers (3)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:174:y:2023:i:c:s096007792300807x

DOI: 10.1016/j.chaos.2023.113906

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