Abstract
This paper concerns the existence, uniqueness and stability of solutions of stochastic Volterra integral equations perturbed by some random processes. The obtained results extend, generalize and enrich the theory of stochastic Volterra integral equations in literature. Lastly, for illustration, we give an example that agrees with the theoretical analysis.
Acknowledgements
The authors would like to appreciate the constructive criticism of the anonymous reviewers.
References
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Articles in the same Issue
- Frontmatter
- Stochastic fractional differential inclusion driven by fractional Brownian motion
- Riesz idempotent, spectral mapping theorem and Weyl's theorem for (m,n)*-paranormal operators
- On the local time of Gaussian and Lévy processes
- Trajectory fitting estimation for stochastic differential equations driven by fractional Brownian motion
- Existence and uniqueness for reflected BSDE with multivariate point process and right upper semicontinuous obstacle
- Existence results for some stochastic functional integrodifferential systems driven by Rosenblatt process
- Random differential hyperbolic equations of fractional order in Fréchet spaces
- On Ulam type of stability for stochastic integral equations with Volterra noise
Articles in the same Issue
- Frontmatter
- Stochastic fractional differential inclusion driven by fractional Brownian motion
- Riesz idempotent, spectral mapping theorem and Weyl's theorem for (m,n)*-paranormal operators
- On the local time of Gaussian and Lévy processes
- Trajectory fitting estimation for stochastic differential equations driven by fractional Brownian motion
- Existence and uniqueness for reflected BSDE with multivariate point process and right upper semicontinuous obstacle
- Existence results for some stochastic functional integrodifferential systems driven by Rosenblatt process
- Random differential hyperbolic equations of fractional order in Fréchet spaces
- On Ulam type of stability for stochastic integral equations with Volterra noise