SOLVABILITY FOR IMPULSIVE FRACTIONAL LANGEVIN EQUATION

Mengrui Xu; Shurong Sun; Zhenlai Han

doi:10.11948/20180170

2020 Volume 10 Issue 2

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Mengrui Xu, Shurong Sun, Zhenlai Han. SOLVABILITY FOR IMPULSIVE FRACTIONAL LANGEVIN EQUATION[J]. Journal of Applied Analysis & Computation, 2020, 10(2): 486-494. doi: 10.11948/20180170

Citation:

Mengrui Xu, Shurong Sun, Zhenlai Han. SOLVABILITY FOR IMPULSIVE FRACTIONAL LANGEVIN EQUATION[J]. Journal of Applied Analysis & Computation, 2020, 10(2): 486-494. doi: 10.11948/20180170

SOLVABILITY FOR IMPULSIVE FRACTIONAL LANGEVIN EQUATION

1.
Department of Mathematics, Shandong University, South Shanda Road, Jinan, Shandong 250100, China
2.
School of Mathematical Sciences, University of Jinan, West Nanxinzhuang Road, Jinan, Shandong 250100, China

Corresponding author: Email address:xumengrui01@163.com(M. Xu)
Fund Project: The authors were supported by Shandong Provincial Natural Science Foundation (ZR2017MA043)

Abstract

Abstract

We investigate impulsive fractional Langevin equation involving two fractional Caputo derivatives with boundary value conditions. By Banach contraction mapping principle and Krasnoselskii's fixed point theorem, some results on the existence and uniqueness of solution are obtained
- Fractional Langevin equation /
- impulsive /
- fractional differential equations /
- boundary value problems
MSC: 34A37, 34A08, 34B15

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References

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