Approximate controllability of semilinear evolution equations of fractional order with nonlocal and impulsive conditions via an approximating technique

Fu Dong Ge; Hua Cheng Zhou; Chun Hai Kou

doi:10.1016/j.amc.2015.11.056

Approximate controllability of semilinear evolution equations of fractional order with nonlocal and impulsive conditions via an approximating technique

Fu Dong Ge, Hua Cheng Zhou^*, Chun Hai Kou

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

Abstract

This paper is concerned with the approximate controllability of the semilinear fractional evolution equations with nonlocal and impulsive conditions. Our main results are obtained by utilizing the technique of approximate solution and the theory of fixed point. In addition, the impulsive functions in this paper are supposed to be continuous and the nonlocal item is divided into two cases: Lipschitz continuous and only continuous, which generalizes the previous contributions. Finally two examples are worked out to illustrate our obtained results.

Original language	English
Pages (from-to)	107-120
Number of pages	14
Journal	Applied Mathematics and Computation
Volume	275
DOIs	https://doi.org/10.1016/j.amc.2015.11.056
State	Published - 15 Feb 2016
Externally published	Yes

Keywords

Approximate controllability
C-semigroup
Fractional evolution equations
Impulsive conditions
Nonlocal conditions

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10.1016/j.amc.2015.11.056

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abstract = "This paper is concerned with the approximate controllability of the semilinear fractional evolution equations with nonlocal and impulsive conditions. Our main results are obtained by utilizing the technique of approximate solution and the theory of fixed point. In addition, the impulsive functions in this paper are supposed to be continuous and the nonlocal item is divided into two cases: Lipschitz continuous and only continuous, which generalizes the previous contributions. Finally two examples are worked out to illustrate our obtained results.",

keywords = "Approximate controllability, C-semigroup, Fractional evolution equations, Impulsive conditions, Nonlocal conditions",

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AU - Ge, Fu Dong

AU - Zhou, Hua Cheng

AU - Kou, Chun Hai

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Y1 - 2016/2/15

N2 - This paper is concerned with the approximate controllability of the semilinear fractional evolution equations with nonlocal and impulsive conditions. Our main results are obtained by utilizing the technique of approximate solution and the theory of fixed point. In addition, the impulsive functions in this paper are supposed to be continuous and the nonlocal item is divided into two cases: Lipschitz continuous and only continuous, which generalizes the previous contributions. Finally two examples are worked out to illustrate our obtained results.

AB - This paper is concerned with the approximate controllability of the semilinear fractional evolution equations with nonlocal and impulsive conditions. Our main results are obtained by utilizing the technique of approximate solution and the theory of fixed point. In addition, the impulsive functions in this paper are supposed to be continuous and the nonlocal item is divided into two cases: Lipschitz continuous and only continuous, which generalizes the previous contributions. Finally two examples are worked out to illustrate our obtained results.

KW - Approximate controllability

KW - C-semigroup

KW - Fractional evolution equations

KW - Impulsive conditions

KW - Nonlocal conditions

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JO - Applied Mathematics and Computation

JF - Applied Mathematics and Computation

ER -

Approximate controllability of semilinear evolution equations of fractional order with nonlocal and impulsive conditions via an approximating technique

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Keywords

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