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Well-posedness and regularity of some stochastic time-fractional integral equations in Hilbert space.
- Source :
-
Journal of Taibah University for Science . Jan-Dec2022, Vol. 16 Issue 1, p788-798. 11p. - Publication Year :
- 2022
-
Abstract
- In the current work, we deal with a class of stochastic time-fractional integral equations in Hilbert space by studying their well-posedness and regularity. Precisely, we use the celebrity fixed point theorem to prove the well-posedness of the problem by imposing the global Lipschitz and the linear growth conditions. Further, we prove the spatial and temporal regularity by imposing only a regularity condition on the initial value. An important example is considered in order to confirm and support the validity of our theoretical results. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 16583655
- Volume :
- 16
- Issue :
- 1
- Database :
- Academic Search Index
- Journal :
- Journal of Taibah University for Science
- Publication Type :
- Academic Journal
- Accession number :
- 161310601
- Full Text :
- https://doi.org/10.1080/16583655.2022.2119587