2017 8th International Conference on Information, Intelligence, Systems and Applications, IISA 2017.
Institute of Electrical and Electronics Engineers Inc..
Vol. 2018-January.
2018.
P. 1-5
Boundary value problems for semilinear differential inclusions of fractional order in a Banach space
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 (Formula presented.) -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. © 2017 Informa UK Limited, trading as Taylor & Francis Group.
Authors
Kamenskii M.
1,
2
,
Obukhovskii V.
2,
3
,
Petrosyan G.3
,
Yao J.-C.4
Journal
Number of issue
4
Language
English
Pages
571-591
Status
Published
Link
Volume
97
Year
2018
Organizations
- 1 Faculty of Mathematics, Voronezh State University, Voronezh, Russian Federation
- 2 Department of Nonlinear Analysis and Optimization, RUDN University, Moscow, Russian Federation
- 3 Faculty of Physics and Mathematics, Voronezh State Pedagogical University, Voronezh, Russian Federation
- 4 Center for General Education, China Medical University, Taichung, Taiwan
Keywords
-set; anti-periodic problem; condensing multimap; Differential inclusion; fixed point; fractional derivative; measure of noncompactness; periodic problem; solution set; translation multioperator
Date of creation
19.10.2018
Date of change
19.10.2018
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2017 IEEE Global Conference on Signal and Information Processing, GlobalSIP 2017 - Proceedings.
Institute of Electrical and Electronics Engineers Inc..
Vol. 2018-January.
2018.
P. 848-852