Controllability of Nonlocal Fractional Differential Systems of Order α ∈ (1,2] In Banach Spaces

Li Kexue; Peng Jigen; Gao Jinghuai

doi:10.1016/S0034-4877(13)60020-8

Controllability of Nonlocal Fractional Differential Systems of Order α ∈ (1,2] In Banach Spaces

Li Kexue
, Peng Jigen
, Gao Jinghuai

Xi'an Jiaotong University

科研成果: 期刊稿件 › 文章 › 同行评审

81 引用（Scopus）

摘要

In this paper, we establish sufficient conditions for controllability of fractional differential systems of order α ∈ (1,2] with nonlocal conditions in infinite dimensional Banach spaces. The results are obtained by using the Sadovskii fixed point theorem and vector-valued operator theory.

源语言	英语
页（从-至）	33-43
页数	11
期刊	Reports on Mathematical Physics
卷	71
期	1
DOI	https://doi.org/10.1016/S0034-4877(13)60020-8
出版状态	已出版 - 2月 2013

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10.1016/S0034-4877(13)60020-8

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title = "Controllability of Nonlocal Fractional Differential Systems of Order α ∈ (1,2] In Banach Spaces",

abstract = "In this paper, we establish sufficient conditions for controllability of fractional differential systems of order α ∈ (1,2] with nonlocal conditions in infinite dimensional Banach spaces. The results are obtained by using the Sadovskii fixed point theorem and vector-valued operator theory.",

keywords = "Controllability, fractional differential systems, Fractional cosine family, Mild solutions, Nonlocal conditions",

author = "Li Kexue and Peng Jigen and Gao Jinghuai",

year = "2013",

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AU - Jigen, Peng

AU - Jinghuai, Gao

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N2 - In this paper, we establish sufficient conditions for controllability of fractional differential systems of order α ∈ (1,2] with nonlocal conditions in infinite dimensional Banach spaces. The results are obtained by using the Sadovskii fixed point theorem and vector-valued operator theory.

AB - In this paper, we establish sufficient conditions for controllability of fractional differential systems of order α ∈ (1,2] with nonlocal conditions in infinite dimensional Banach spaces. The results are obtained by using the Sadovskii fixed point theorem and vector-valued operator theory.

KW - Controllability, fractional differential systems

KW - Fractional cosine family

KW - Mild solutions

KW - Nonlocal conditions

UR - https://www.scopus.com/pages/publications/84875587887

U2 - 10.1016/S0034-4877(13)60020-8

DO - 10.1016/S0034-4877(13)60020-8

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Controllability of Nonlocal Fractional Differential Systems of Order α ∈ (1,2] In Banach Spaces

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