Mittag-Leffler's Function and Stochastic Linear Volterra Equations of Convolution Type
Authors:
S. Bonaccorsi a;
L. Tubaro a
| Affiliation: | a Department of Mathematics, University of Trento, Povo (TN), Italy |
DOI:
10.1081/SAP-120017532
Publication Frequency:
6 issues per year
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Abstract
We consider the class of stochastic linear Volterra equations of convolution type defined by fractional integration kernels gρ(t)=
1Γ(ρ) tρ-1, ρ∈(0,2).
Using an explicit formula for the scalar resolvent function, we establish the basic properties of the stochastic convolution process WS. Our formulas are given in terms of the Mittag-Leffler's function
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1Γ(ρ)
tρ-1, ρ∈(0,2).

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