Stabilization and asymptotic stability of the Caputo–Fabrizio fractional-order linear and semilinear evolution equations

We discuss the asymptotic stability of the fractional-order linear and semilinear evolution equations involving a Caputo–Fabrizio fractional derivative for fractional-order α∈(0,1) with a non-singular kernel. First, by using the concepts of an equilibrium point, it is proved that an autonomous Caput...

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Hauptverfasser:	Matap Shankar, Swaroop Nandan Bora
Format:	Artigo
Sprache:	Inglês
Veröffentlicht:	Elsevier 2023-12-01
Schriftenreihe:	Franklin Open
Schlagworte:	Caputo–Fabrizio differential equation Semilinear evolution equation Caputo–Fabrizio fractional-order derivative Equilibrium point Asymptotic stability Stabilization
Online-Zugang:	http://www.sciencedirect.com/science/article/pii/S2773186323000373
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