Back to Search
Start Over
Boundary value problems for semilinear differential inclusions of fractional order in a Banach space.
- Source :
- Applicable Analysis; Mar2018, Vol. 97 Issue 4, p571-591, 21p
- Publication Year :
- 2018
-
Abstract
- In the present paper, we show that the solution set of a fractional order semilinear differential inclusion in a Banach space has the topological structure of an R<subscript>δ</subscript>-set. This result allows to apply a fixed point result for condensing multimaps to the translation multioperator along the trajectories of such inclusion and to prove the existence of solutions satisfying periodic and anti-periodic boundary value conditions. An example concerning with a fractional order feedback control system is presented. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 00036811
- Volume :
- 97
- Issue :
- 4
- Database :
- Complementary Index
- Journal :
- Applicable Analysis
- Publication Type :
- Academic Journal
- Accession number :
- 128308526
- Full Text :
- https://doi.org/10.1080/00036811.2016.1277583