On a Nonlinear Fractional Langevin Equation of Two Fractional Orders with a Multiplicative Noise

We consider a stochastic nonlinear fractional Langevin equation of two fractional orders Dβ(Dα+γ)ψ(t)=λϑ(t,ψ(t))w˙(t),01 and α+β>1 for some positive constants c1,c3 and c4.

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Veröffentlicht in:	Fractal and fractional 2022-06, Vol.6 (6), p.290
Hauptverfasser:	Omaba, McSylvester, Nwaeze, Eze
Format:	Artikel
Sprache:	eng
Schlagworte:	Boundary conditions Boundary value problems Caputo fractional derivative existence and uniqueness result Fixed points (mathematics) Fractals Gaussian white noise moment growth upper bound nonlinear fractional Langevin equation Parameters Theorems Upper bounds
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Beschreibung
Zusammenfassung:	We consider a stochastic nonlinear fractional Langevin equation of two fractional orders Dβ(Dα+γ)ψ(t)=λϑ(t,ψ(t))w˙(t),01 and α+β>1 for some positive constants c1,c3 and c4.
ISSN:	2504-3110 2504-3110
DOI:	10.3390/fractalfract6060290