Differential and Integral Equations

Fractional stochastic evolution equations with Lévy noise

Stefano Bonaccorsi

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In this paper, we consider the problem of existence and uniqueness for a class of abstract integral Volterra equations in a Hilbert space $H$ perturbed by an additive noise of L\'evy type, with nonLipschitz nonlinearities. We find the solution in the space of mean square continuous and predictable processes from ${\mathbb R} _+$ into $H$.

Article information

Differential Integral Equations, Volume 22, Number 11/12 (2009), 1141-1152.

First available in Project Euclid: 20 December 2012

Permanent link to this document

Mathematical Reviews number (MathSciNet)

Zentralblatt MATH identifier

Primary: 60H20: Stochastic integral equations
Secondary: 26A33: Fractional derivatives and integrals 45D05: Volterra integral equations [See also 34A12]


Bonaccorsi, Stefano. Fractional stochastic evolution equations with Lévy noise. Differential Integral Equations 22 (2009), no. 11/12, 1141--1152. https://projecteuclid.org/euclid.die/1356019409

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