On The L{2}-Solutions of Stochastic Fractional Partial Differential Equations; Existence, Uniqueness and Equivalence of Solutions

Details On The L{2}-Solutions of Stochastic Fractional Partial Differential Equations; Existence, Uniqueness and Equivalence of Solutions On The L{2}-Solutions of Stochastic Fractional Partial Differential Equations; Existence, Uniqueness and Equivalence of Solutions

2011-02-23

arxiv.org/abs/1102.4715v1

Mathematics

Probability

Scientific paper

The aim of this work is to prove existence and uniqueness of
$L^{2}-$solutions of stochastic fractional partial differential equations in
one spatial dimension. We prove also the equivalence between several notions of
$L^{2}-$solutions. The Fourier transform is used to give meaning to SFPDEs.
This method is valid also when the diffusion coefficient is random.

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