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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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
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spelling doaj-ed2ab6c565d9425aa3504c4cb68cfa772020-11-25T03:07:24ZengSpringerOpenBoundary Value Problems1687-27702020-07-012020111310.1186/s13661-020-01417-1Controllability of fractional evolution systems of Sobolev type via resolvent operatorsHe Yang0Yanjie Zhao1College of Mathematics and Statistics, Northwest Normal UniversityCollege of Mathematics and Statistics, Northwest Normal UniversityAbstract 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.http://link.springer.com/article/10.1186/s13661-020-01417-1Fractional evolution systemsNonlocal controllabilityFractional resolvent familyThe measure of noncompactnessRelative compactness
collection DOAJ
language English
format Article
sources DOAJ
author He Yang
Yanjie Zhao
spellingShingle He Yang
Yanjie Zhao
Controllability of fractional evolution systems of Sobolev type via resolvent operators
Boundary Value Problems
Fractional evolution systems
Nonlocal controllability
Fractional resolvent family
The measure of noncompactness
Relative compactness
author_facet He Yang
Yanjie Zhao
author_sort He Yang
title Controllability of fractional evolution systems of Sobolev type via resolvent operators
title_short Controllability of fractional evolution systems of Sobolev type via resolvent operators
title_full Controllability of fractional evolution systems of Sobolev type via resolvent operators
title_fullStr Controllability of fractional evolution systems of Sobolev type via resolvent operators
title_full_unstemmed Controllability of fractional evolution systems of Sobolev type via resolvent operators
title_sort controllability of fractional evolution systems of sobolev type via resolvent operators
publisher SpringerOpen
series Boundary Value Problems
issn 1687-2770
publishDate 2020-07-01
description 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.
topic Fractional evolution systems
Nonlocal controllability
Fractional resolvent family
The measure of noncompactness
Relative compactness
url http://link.springer.com/article/10.1186/s13661-020-01417-1
work_keys_str_mv AT heyang controllabilityoffractionalevolutionsystemsofsobolevtypeviaresolventoperators
AT yanjiezhao controllabilityoffractionalevolutionsystemsofsobolevtypeviaresolventoperators
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