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

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

81 Scopus citations

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.

Original language	English
Pages (from-to)	33-43
Number of pages	11
Journal	Reports on Mathematical Physics
Volume	71
Issue number	1
DOIs	https://doi.org/10.1016/S0034-4877(13)60020-8
State	Published - Feb 2013

Keywords

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

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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 - Jinghuai, Gao

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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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JO - Reports on Mathematical Physics

JF - Reports on Mathematical Physics

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

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Keywords

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