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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Detalhes bibliográficos

Principais autores:	Matap Shankar, Swaroop Nandan Bora
Formato:	Artigo
Idioma:	Inglês
Publicado em:	Elsevier 2023-12-01
coleção:	Franklin Open
Assuntos:	Caputo–Fabrizio differential equation Semilinear evolution equation Caputo–Fabrizio fractional-order derivative Equilibrium point Asymptotic stability Stabilization
Acesso em linha:	http://www.sciencedirect.com/science/article/pii/S2773186323000373
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