Existence of positive solutions for period BVPs with Hilfer derivative

Teng Long; Chengfu Li; Jiawei He

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Existence of positive solutions for period BVPs with Hilfer derivative

机译：HILFER衍生物时段BVPS阳性解的存在性

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摘要

In this paper, we consider a class of period boundary value problems of fractional differential equations with Hilfer derivative.We establish some existence criterions of positive solutions by using the fixed point theorems and the upper and lower solutions method. Finally, some examples are given to illustrate our main results.

机译：在本文中，我们考虑了一类具有Hilefer衍生的分数微分方程的周期边值问题。通过使用固定点定理和上下解决方案方法建立一些存在标准。最后，给出了一些例子来说明我们的主要结果。

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来源
《Journal of Applied Mathematics and Computing》 |2019年第2期|共14页
作者
Teng Long; Chengfu Li; Jiawei He;
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作者单位

Faculty of Mathematics and Computational Science Xiangtan University Xiangtan 411105 Hunan People's Republic of China;

Faculty of Mathematics and Computational Science Xiangtan University Xiangtan 411105 Hunan People's Republic of China;

Faculty of Mathematics and Computational Science Xiangtan University Xiangtan 411105 Hunan People's Republic of China;

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原文格式 PDF
正文语种 eng
中图分类数学;
关键词
Fractional derivative; Positive solutions; Period BVPs; Existence;

机译：分数衍生物;正面解决方案;期间BVPS;存在;

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1. Existence of positive solutions for period BVPs with Hilfer derivative [J] . Teng Long, Chengfu Li, Jiawei He Journal of Applied Mathematics and Computing . 2019,第1a2期

机译：HILFER衍生物时段BVPS阳性解的存在性
2. Existence of solutions and positive solutions to a fourth-order two-point BVP with second derivative [J] . YAO Qing-liu Journal of Zhejiang University Science: An international applied physics & engineering journal . 2004,第3期

机译：具有二阶导数的四阶两点BVP的解和正解的存在性
3. Existence of solutions and positive solutions to a fourth-order two-point BVP with second derivative [J] . YAO Qing-liu Journal of Zhejiang University. Science, A . 2004,第3期

机译：具有第二衍生物的第四阶双点BVP的解决方案和正解的存在性
4. LATEX The existence of positive solutions for multi-point BVPs with dependence on the first order derivative [C] . Weihua Jiang, Bin Wang, Xiumin Li Software Engineering Artificial Intelligence Networking and Parallel Distributed Computing, 2007 8th ACIS International Conference on . 2007

机译：LATEX依赖于一阶导数的多点BVP正解的存在
5. Existence of positive solutions to a family of fractional two-point boundary value problems. [D] . Hollon, Christina A. 2015

机译：一类分数两点边值问题的正解的存在性。
6. Existence and Uniqueness of Positive Solution for Discrete Multipoint Boundary Value Problems [O] . Huili Ma, Huifang Ma 2014

机译：离散多点边值问题正解的存在性和唯一性
7. The existence of positive solutions for second-order multi-point BVPs with the first derivative [O] . Jiang Weihua 2009

机译：具有一阶导数的二阶多点BVP正解的存在性

Existence of positive solutions for period BVPs with Hilfer derivative

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