Controllability of fractional evolution systems of Sobolev type via resolvent operators

Controllability of fractional evolution systems of Sobolev type via resolvent operators

Abstract In this paper, we consider the nonlocal controllability of α ∈ ( 1 , 2 ) $\alpha\in (1,2)$ -order fractional evolution systems of Sobolev type in abstract spaces. By utilizing fixed point theorems and the theory of resolvent operators we establish some sufficient conditions for the nonlocal...

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Bibliographic Details
Main Authors: He Yang, Yanjie Zhao
Format: Article
Language:English
Published: SpringerOpen 2020-07-01
Series:Boundary Value Problems
Subjects:
Fractional evolution systems
Nonlocal controllability
Fractional resolvent family
The measure of noncompactness
Relative compactness
Online Access:http://link.springer.com/article/10.1186/s13661-020-01417-1
Description
Summary:Abstract In this paper, we consider the nonlocal controllability of α ∈ ( 1 , 2 ) $\alpha\in (1,2)$ -order fractional evolution systems of Sobolev type in abstract spaces. By utilizing fixed point theorems and the theory of resolvent operators we establish some sufficient conditions for the nonlocal controllability of Sobolev-type fractional evolution systems.
ISSN:1687-2770

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