Mittag-Leffler's function and stochastic linear Volterra equations of convolution type

Stochastic Analysis and Applications

Volumn 21, Issue 1, 2003, Pages 61-78

  Bonaccorsi, S ^a   Tubaro, L ^a  

^a UNIVERSITY OF TRENTO   (Italy)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0037287316     PISSN: 07362994     EISSN: None     Source Type: Journal    
DOI: 10.1081/SAP-120017532     Document Type: Article

References (11)

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2. Clément, Ph.; Da Prato, G. White noise perturbation of the heat equation in materials with memory. Dyn. Syst. Appl. 1997, 6 (4), 441-460.
3. Clément, Ph.; Da Prato, G.; Prüss, J. White noise perturbation of the equations of linear parabolic viscoelasticity. Rend. Ist. Mat. Univ. Trieste 1997, 29 (1-2), 207-220 (1998).
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6. Karczewka, A.; Zabczyk, J. Regularity of solutions to stochastic Volterra equations. Atti. Accad. Naz. Lincei Cl. Sci. Fis. Mat. Nat. Rend. Lincei (9) Mat. Appl. 2001, 11 (3), 141-154.
7. Miller, R.K. Nonlinear Volterra Integral Equations; W. A. Benjamin, Ed.; Inc., 1971.
8. Mittag-Leffler, G. Sur la representation analytique d'une branche uniforme d'une function monotone. Acta Math., 1905.
9. α(-x). Bull. Am. Math. Soc. 1948, 54, 1115-1116.
10. Prüss, J. Evolutionary integral equations and applications; Birkhäuser Verlag: Basel, 1993.
11. Riesz, M. L'intégrale de Riemann-Liouville et le problème de Cauchy. Acta Math. 1949, 81, 1-223.