Solutions to stochastic fractional oscillation equations. (English) Zbl 1202.60099

Karczewska, Anna; Lizama, Carlos

Appl. Math. Lett. 23, No. 11, 1361-1366 (2010).

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:

60H15

Stochastic partial differential equations (aspects of stochastic analysis)

Keywords:

fractional differential equations; stochastic equations; regularized resolvents

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