Neutral fractional stochastic partial differential equations with Clarke subdifferential

ABSTRACT

By using fractional calculus, stochastic analysis theory and fixed point theorems, sufficient conditions for approximate controllability of nonlocal Sobolev-type neutral fractional stochastic differential equations with fractional Brownian motion and Clarke subdifferential are established. Finally, an example is given to illustrate the obtained results.

KEYWORDS:

• Fractional Brownian motion
• nonlocal Sobolev-type neutral fractional stochastic differential equations
• approximate controllability
• clarke subdifferential

MATHEMATICS SUBJECT CLASSIFICATION 2010:

• 60H15
• 34A08
• 93B05

Acknowledgments

The authors would like to thank the referees and the editor for their important comments and suggestions, which have significantly improved the paper.

Disclosure statement

No potential conflict of interest was reported by the authors.