Approximate controllability of Hilfer fractional differential equations

Jingyun Lv; Xiaoyuan Yang

doi:10.1002/mma.5862

Approximate controllability of Hilfer fractional differential equations

Jingyun Lv
, Xiaoyuan Yang^*

^*此作品的通讯作者

数学科学学院

Beihang University

科研成果: 期刊稿件 › 文章 › 同行评审

29 引用（Scopus）

摘要

In this paper, the approximate controllability for a class of Hilfer fractional differential equations (FDEs) of order 1<α<2 and type 0 ≤ β ≤ 1 is considered. The existence and uniqueness of mild solutions for these equations are established by applying the Banach contraction principle. Further, we obtain a set of sufficient conditions for the approximate controllability of these equations. Finally, an example is presented to illustrate the obtained results.

源语言	英语
页（从-至）	242-254
页数	13
期刊	Mathematical Methods in the Applied Sciences
卷	43
期	1
DOI	https://doi.org/10.1002/mma.5862
出版状态	已出版 - 15 1月 2020

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10.1002/mma.5862

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AB - In this paper, the approximate controllability for a class of Hilfer fractional differential equations (FDEs) of order 1<α<2 and type 0 ≤ β ≤ 1 is considered. The existence and uniqueness of mild solutions for these equations are established by applying the Banach contraction principle. Further, we obtain a set of sufficient conditions for the approximate controllability of these equations. Finally, an example is presented to illustrate the obtained results.

KW - approximate controllability

KW - fractional differential equations

KW - Hilfer fractional derivative

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Approximate controllability of Hilfer fractional differential equations

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