| 带有反周期边值条件的分数阶Langevin微分包含解的存在性 |
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| 引用本文： | 杨,丹,丹.带有反周期边值条件的分数阶Langevin微分包含解的存在性[J].华中师范大学学报(自然科学版),2021,55(1):1-6. |
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| 作者姓名： | 杨 丹 丹 |
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| 作者单位： | 淮阴师范学院数学与统计学院,江苏淮安223300 |
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| 基金项目： | 国家自然科学基金;国家自然科学基金 |
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| 摘 要： | 研究如下带有反周期边值条件的分数阶Langevin微分包含：其中，Dα是α-阶Caputo分数阶导数，F：0,1]×X→P(X)是一个多值映射，λ是一个实数.由多值映射的不动点定理，给出了其解的存在性的充分性条件.该文将单值情形推广到多值情形.
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| 关 键 词： | Langevin微分包含 分数阶 反周期边值问题 不动点定理 |
Existence of solutions for fractional Langevin differential inclusions with anti-periodic boundary value conditions |
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| YANG Dandan.Existence of solutions for fractional Langevin differential inclusions with anti-periodic boundary value conditions[J].Journal of Central China Normal University(Natural Sciences),2021,55(1):1-6. |
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| Authors: | YANG Dandan |
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| Institution: | School of Mathematics and Statistics，Huaiyin Normal University，Huaian，Jiangsu 223300，China |
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| Abstract: | In this paper， we investigate the existence of solutions for Langevin fractional differential inclusions with anti-periodic boundary value conditionswhere Dα is the Caputo fractional derivative of order α，F0,1]×X→P(X) is a multivalued map，λ is a constant. By means of some standard fixed point theorems， sufficient conditions for the existence of solutions for the fractional differential inclusions are presented. Our results generalize the single known results to the multi-valued ones. |
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| Keywords: | Langevin differential inclusions fractional order anti-periodic boundary value problem fixed-point theorem |
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