On Caputo–Katugampola Fractional Stochastic Differential Equation

On Caputo–Katugampola Fractional Stochastic Differential Equation

We consider the following stochastic fractional differential equation CD0+α,ρφ(t)=κϑ(t,φ(t))w˙(t), 00 represents the noise level. The main result of the paper focuses on the energy growth bound and the asymptotic behaviour of the random solution. Furthermore, we employ Banach fixed point theorem to...

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Veröffentlicht in:Mathematics (Basel) 2022-06, Vol.10 (12), p.2086
Hauptverfasser: Omaba, McSylvester Ejighikeme, Sulaimani, Hamdan Al
Format: Artikel
Sprache:eng
Schlagworte:
asymptotic behaviour
Asymptotic properties
Caputo–Hadamard
Caputo–Katugampola
Continuity (mathematics)
Coronaviruses
COVID-19
Differential equations
energy-growth bounds
Existence theorems
Fixed points (mathematics)
Fractional calculus
Mathematics
Noise levels
Operators (mathematics)
Random variables
well-posedness
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Beschreibung
Zusammenfassung:We consider the following stochastic fractional differential equation CD0+α,ρφ(t)=κϑ(t,φ(t))w˙(t), 00 represents the noise level. The main result of the paper focuses on the energy growth bound and the asymptotic behaviour of the random solution. Furthermore, we employ Banach fixed point theorem to establish the existence and uniqueness result of the mild solution.
ISSN:2227-7390
2227-7390
DOI:10.3390/math10122086