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^*

^*Corresponding author for this work

School of Mathematical Sciences

Beihang University

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

29 Scopus citations

Abstract

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.

Original language	English
Pages (from-to)	242-254
Number of pages	13
Journal	Mathematical Methods in the Applied Sciences
Volume	43
Issue number	1
DOIs	https://doi.org/10.1002/mma.5862
State	Published - 15 Jan 2020

Keywords

approximate controllability
fractional differential equations
Hilfer fractional derivative

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10.1002/mma.5862

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title = "Approximate controllability of Hilfer fractional differential equations",

abstract = "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.",

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AU - Lv, Jingyun

AU - Yang, Xiaoyuan

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N2 - 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.

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

UR - https://www.scopus.com/pages/publications/85072164065

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DO - 10.1002/mma.5862

M3 - 文章

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SN - 0170-4214

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SP - 242

EP - 254

JO - Mathematical Methods in the Applied Sciences

JF - Mathematical Methods in the Applied Sciences

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Approximate controllability of Hilfer fractional differential equations

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Keywords

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