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.

Авторы
Kamenskii M. 1, 2 , Obukhovskii V. 2, 3 , Petrosyan G.3 , Yao J.-C.4
Редакторы
-
Журнал
Издательство
-
Номер выпуска
4
Язык
Английский
Страницы
571-591
Статус
Опубликовано
Подразделение
-
Номер
-
Том
97
Год
2018
Организации
  • 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
Ключевые слова
-set; anti-periodic problem; condensing multimap; Differential inclusion; fixed point; fractional derivative; measure of noncompactness; periodic problem; solution set; translation multioperator
Дата создания
19.10.2018
Дата изменения
19.10.2018
Постоянная ссылка
https://repository.rudn.ru/ru/records/article/record/6774/