Approximate Controllability for Functional Equations with Riemann-Liouville Derivative by Iterative and Approximate Method

Autor:	Badawi Hamza Elbadawi Ibrahim, Zhenbin Fan, Gang Li
Jazyk:	angličtina
Rok vydání:	2017
Předmět:	Mathematics QA1-939
Zdroj:	Journal of Function Spaces, Vol 2017 (2017)
Druh dokumentu:	article
ISSN:	2314-8896 2314-8888
DOI:	10.1155/2017/2508165
Popis:	We discuss the functional control systems governed by differential equations with Riemann-Liouville fractional derivative in general Banach spaces in the present paper. First we derive the uniqueness and existence of mild solutions for functional differential equations by the approach of fixed point and fractional resolvent under more general settings. Then we present new sufficient conditions for approximate controllability of functional control system by means of the iterative and approximate method. Our results unify and generalize some previous works on this topic.
Databáze:	Directory of Open Access Journals
Externí odkaz:	https://doaj.org/article/5e80901a20c944e6890fec9729d2a780 Zobrazit plný text záznamu View record in DOAJ Plný text ve formátu PDF