A General Maximum Principle for Discrete Fractional Stochastic Control System of Mean-Field Type
In this paper, we investigate a general maximum principle for discrete fractional stochastic difference system of mean-field type. The admissible control domain is nonconvex. We give Malliavin calculus for discrete-time case to deal with the fractional terms. The maximum principle of general type is...
Saved in:
| Main Authors: | , , , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Wiley
2024-01-01
|
| Series: | Discrete Dynamics in Nature and Society |
| Online Access: | http://dx.doi.org/10.1155/2024/3386753 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| Summary: | In this paper, we investigate a general maximum principle for discrete fractional stochastic difference system of mean-field type. The admissible control domain is nonconvex. We give Malliavin calculus for discrete-time case to deal with the fractional terms. The maximum principle of general type is derived by classical variation and linear operator methods. In addition, a linear-quadratic problem is solved to illustrate the main result and we also figure out a numerical result in this case. |
|---|---|
| ISSN: | 1607-887X |