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一类含参数分数阶微分方程边值问题正解的性质研究

冯海星 翟成波

冯海星, 翟成波. 一类含参数分数阶微分方程边值问题正解的性质研究[J]. 应用数学和力学, 2017, 38(7): 818-826. doi: 10.21656/1000-0887.380124
引用本文: 冯海星, 翟成波. 一类含参数分数阶微分方程边值问题正解的性质研究[J]. 应用数学和力学, 2017, 38(7): 818-826. doi: 10.21656/1000-0887.380124
FENG Hai-xing, ZHAI Cheng-bo. Properties of Positive Solutions to a Class of Fractional Differential Equations With Parameters and Integral Boundary Conditions[J]. Applied Mathematics and Mechanics, 2017, 38(7): 818-826. doi: 10.21656/1000-0887.380124
Citation: FENG Hai-xing, ZHAI Cheng-bo. Properties of Positive Solutions to a Class of Fractional Differential Equations With Parameters and Integral Boundary Conditions[J]. Applied Mathematics and Mechanics, 2017, 38(7): 818-826. doi: 10.21656/1000-0887.380124

一类含参数分数阶微分方程边值问题正解的性质研究

doi: 10.21656/1000-0887.380124
基金项目: 国家自然科学基金(11201272);山西省自然科学基金(2015011005);2015山西省131人才项目
详细信息
    作者简介:

    冯海星(1981—),女,硕士(E-mail: seastar1981@126.com);翟成波(1977—),男,博士(通讯作者. E-mail: cbzhai@sxu.edu.cn).

  • 中图分类号: O177.91

Properties of Positive Solutions to a Class of Fractional Differential Equations With Parameters and Integral Boundary Conditions

Funds: The National Natural Science Foundation of China(11201272)
  • 摘要: 研究了一类含参数的分数阶微分方程边值问题,主要运用锥上的不动点定理及混合单调算子特征值问题的性质得出了正解关于参数的性质:存在唯一性、单调性、连续性以及极限性质.最后举例说明了结果的可行性.
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出版历程
  • 收稿日期:  2017-05-05
  • 修回日期:  2017-05-25
  • 刊出日期:  2017-07-15

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