Back to Search
Start Over
Optimal Control of Clarke Subdifferential Type Fractional Differential Inclusion with Non-instantaneous Impulses Driven by Poisson Jumps and Its Topological Properties.
- Source :
-
Bulletin of the Iranian Mathematical Society . Dec2021 Supplement 1, Vol. 47, p271-305. 35p. - Publication Year :
- 2021
-
Abstract
- This article is devoted to studying the topological structure of a solution set for Clarke subdifferential type fractional non-instantaneous impulsive differential inclusion driven by Poisson jumps. Initially, for proving the solvability result, we use a nonlinear alternative of Leray–Schauder fixed point theorem, Gronwall inequality, stochastic analysis, a measure of noncompactness, and the multivalued analysis. Furthermore, the mild solution set for the proposed problem is demonstrated with nonemptyness, compactness, and, moreover, R δ -set. By employing Balder's theorem, the existence of optimal control is derived. At last, an application is provided to validate the developed theoretical results. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 10186301
- Volume :
- 47
- Database :
- Academic Search Index
- Journal :
- Bulletin of the Iranian Mathematical Society
- Publication Type :
- Academic Journal
- Accession number :
- 153625168
- Full Text :
- https://doi.org/10.1007/s41980-020-00492-5