El-Borai, Mahmoud M.; El-Nadi, Khairia El-Said; Mostafa, Osama L.; Ahmed, Hamdy M. Volterra equations with fractional stochastic integrals. (English) Zbl 1081.45007 Math. Probl. Eng. 2004, No. 5, 453-468 (2004). Volterra equations with fractional stochastic integrals are considered, where the integrands of the Lebesgue integral and the Ito integral are multiplied by a kernel with a fractional parameter \({\beta}\), respectively. Since the integrands are no more adaptive, the Skorohod integral is used as a tool. Lipschitz-like and local Lipschitz-like conditions are posed on the coefficients to obtain the existence and uniqueness of an adapted solution. Reviewer: Gong Guanglu (Beijing) Cited in 11 Documents MSC: 45R05 Random integral equations 60H20 Stochastic integral equations 26A33 Fractional derivatives and integrals Keywords:Volterra equation; fractional stochastic integral; Skorokhod integral; existence; uniqueness PDF BibTeX XML Cite \textit{M. M. El-Borai} et al., Math. Probl. Eng. 2004, No. 5, 453--468 (2004; Zbl 1081.45007) Full Text: DOI EuDML OpenURL