Habib Djourdem, Noureddine Bouteraa, "Mild Solution for a Stochastic Partial Differential Equation with Noise," WSEAS Transactions on Systems, vol. 19, pp. 246-256, 2020, DOI:10.37394/23202.2020.19.29
Habib Djourdem, Noureddine Bouteraa. Mild Solution for a Stochastic Partial Differential Equation with Noise.
WSEAS Transactions on Systems. 2020;19:246-256. 10.37394/23202.2020.19.29
WSEAS Transactions on Systems
Print ISSN: 1109-2777, E-ISSN: 2224-2678
Volume 19, 2020
Mild Solution for a Stochastic Partial Differential Equation with Noise
Authors: ,
Abstract: This paper focuses on the study of the existence of a mild solution to time and space-fractional stochastic equation perturbed by multiplicative white noise. The required results are obtained by means of Sadovskii’s fixed point theorem.
Keywords:
stochastic equation, mild solution, fractional derivative, Hausdorff measure of non-compacteness, Darbo’s fixed point
Pages: 246-256 WSEAS Transactions on Systems, ISSN / E-ISSN: 1109-2777 / 2224-2678, Volume 19, 2020, Art. #29 DOI: 10.37394/23202.2020.19.29
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