Approximate controllability of fractional nonlocal delay semilinear systems in Hilbert spaces

We study the existence and approximate controllability of a class of fractional nonlocal delay semilinear differential systems in a Hilbert space. The results are obtained by using semigroup theory, fractional calculus and Schauders fixed point theorem. Multi-delay controls and a fractional nonlocal...

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Bibliographic Details
Main Author: Debbouche, A. (author)
Other Authors: Torres, D. F. M. (author)
Format: article
Language:eng
Published: 1000
Subjects:
Approximate controllability
Fractional multi-delay control system
Fractional nonlocal condition
Schauder's fixed point theorem
Semigroups
Fixed point theorems
Fractional calculus
Non-local conditions
Semilinear differential systems
Semilinear system
Delay control systems
Fixed point arithmetic
Functional analysis
Vector spaces
Hilbert spaces
Online Access:http://hdl.handle.net/10773/11897
Country:Portugal
Oai:oai:ria.ua.pt:10773/11897
Description
Summary:We study the existence and approximate controllability of a class of fractional nonlocal delay semilinear differential systems in a Hilbert space. The results are obtained by using semigroup theory, fractional calculus and Schauders fixed point theorem. Multi-delay controls and a fractional nonlocal condition are introduced. Furthermore, we present an appropriate set of sufficient conditions for the considered fractional nonlocal multi-delay control system to be approximately controllable. An example to illustrate the abstract results is given. © 2013 Taylor & Francis.

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