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Solvability for impulsive fractional Langevin equation |
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| Authors: | Mengrui Xu Shurong Sun and Zhenlai Han |
| Institution: | Department of Mathematics, Shandong University, South Shanda Road, Ji-nan, Shandong 250100, China,School of Mathematical Sciences, University of Jinan, West NanxinzhuangRoad, Jinan, Shandong 250100, China and School of Mathematical Sciences, University of Jinan, West NanxinzhuangRoad, Jinan, Shandong 250100, China |
| 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. |
| Keywords: | Fractional Langevin equation impulsive fractional differential equations boundary value problems |
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