Approximate Controllability for a Kind of Fractional Neutral Differential Equations with Damping

Approximate Controllability for a Kind of Fractional Neutral Differential Equations with Damping

This paper gains several meaningful results on the mild solutions and approximate controllability for a kind of fractional neutral differential equations with damping (FNDED) and order belonging to 1,2 in Banach spaces. At first, a new expression for the mild solutions of FNDED via the (p, q)-regula...

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Main Authors: Jun Du, Dongling Cui, Yeguo Sun, Jin Xu
Format: Article
Language:English
Published: Hindawi Limited 2020-01-01
Series:Mathematical Problems in Engineering
Online Access:http://dx.doi.org/10.1155/2020/7592818
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spelling doaj-b1f96f79c760483da0945d903adc7a522021-01-04T00:00:15ZengHindawi LimitedMathematical Problems in Engineering1563-51472020-01-01202010.1155/2020/75928187592818Approximate Controllability for a Kind of Fractional Neutral Differential Equations with DampingJun Du0Dongling Cui1Yeguo Sun2Jin Xu3Department of Applied MathematicsDepartment of Applied MathematicsDepartment of Applied MathematicsDepartment of Applied MathematicsThis paper gains several meaningful results on the mild solutions and approximate controllability for a kind of fractional neutral differential equations with damping (FNDED) and order belonging to 1,2 in Banach spaces. At first, a new expression for the mild solutions of FNDED via the (p, q)-regularized operator family and the technique of Laplace transform is acquired. Then, we consider the approximate controllability of FNDED by means of the approximate sequence method, and simultaneously, some applicable sufficient conditions are obtained.http://dx.doi.org/10.1155/2020/7592818
collection DOAJ
language English
format Article
sources DOAJ
author Jun Du
Dongling Cui
Yeguo Sun
Jin Xu
spellingShingle Jun Du
Dongling Cui
Yeguo Sun
Jin Xu
Approximate Controllability for a Kind of Fractional Neutral Differential Equations with Damping
Mathematical Problems in Engineering
author_facet Jun Du
Dongling Cui
Yeguo Sun
Jin Xu
author_sort Jun Du
title Approximate Controllability for a Kind of Fractional Neutral Differential Equations with Damping
title_short Approximate Controllability for a Kind of Fractional Neutral Differential Equations with Damping
title_full Approximate Controllability for a Kind of Fractional Neutral Differential Equations with Damping
title_fullStr Approximate Controllability for a Kind of Fractional Neutral Differential Equations with Damping
title_full_unstemmed Approximate Controllability for a Kind of Fractional Neutral Differential Equations with Damping
title_sort approximate controllability for a kind of fractional neutral differential equations with damping
publisher Hindawi Limited
series Mathematical Problems in Engineering
issn 1563-5147
publishDate 2020-01-01
description This paper gains several meaningful results on the mild solutions and approximate controllability for a kind of fractional neutral differential equations with damping (FNDED) and order belonging to 1,2 in Banach spaces. At first, a new expression for the mild solutions of FNDED via the (p, q)-regularized operator family and the technique of Laplace transform is acquired. Then, we consider the approximate controllability of FNDED by means of the approximate sequence method, and simultaneously, some applicable sufficient conditions are obtained.
url http://dx.doi.org/10.1155/2020/7592818
work_keys_str_mv AT jundu approximatecontrollabilityforakindoffractionalneutraldifferentialequationswithdamping
AT donglingcui approximatecontrollabilityforakindoffractionalneutraldifferentialequationswithdamping
AT yeguosun approximatecontrollabilityforakindoffractionalneutraldifferentialequationswithdamping
AT jinxu approximatecontrollabilityforakindoffractionalneutraldifferentialequationswithdamping
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