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Zbl 1202.60099
Karczewska, Anna; Lizama, Carlos
Solutions to stochastic fractional oscillation equations. (English)
[J] Appl. Math. Lett. 23, No. 11, 1361-1366 (2010). ISSN 0893-9659

Summary: We formulate a fractional stochastic oscillation equation as a generalization of Bagley's fractional differential equation. We do this in analogy to the case of Basset's equation, which gives rise to fractional stochastic relaxation equations. We analyze solutions under some conditions of spatial regularity of the operators considered.
MSC 2000:
*60H15 Stochastic partial differential equations

Keywords: fractional differential equations; stochastic equations; regularized resolvents

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