吉首大学学报(自然科学版) ›› 2021, Vol. 42 ›› Issue (3): 6-12.DOI: 10.13438/j.cnki.jdzk.2021.03.002

• 数学 • 上一篇    下一篇

Hilfer-Hadamard型分数阶微分方程边值问题解的存在性

段丽静,谢景力,刘晗嫣   

  1. (吉首大学数学与统计学院,湖南 吉首 416000)
  • 出版日期:2021-05-25 发布日期:2021-08-30
  • 通讯作者: 谢景力(1972—),男,湖南吉首人,吉首大学数学与统计学院教授,硕士生导师,主要从事常微分方程与动力系统研究.
  • 基金资助:
    国家自然科学基金资助项目(11661037)

Existence of Solutions for Boundary Value Problems of  Hilfer-Hadamard Type Fractional Differential Equations

DUAN Lijing, XIE Jingli, LIU Hanyan   

  1. (College of Mathematics and Statistics, Jishou University, Jishou 416000, Hunan China)
  • Online:2021-05-25 Published:2021-08-30

摘要:研究了一类具Hilfer-Hadamard型分数阶导数的分数阶微分方程三点边值问题解的存在性和唯一性,分别运用Leray-Schauder二择一定理和Banach不动点定理得到了边值问题解的存在性和唯一性结果.

关键词: Hilfer-Hadamard分数阶导数, 边值问题, 不动点定理, 存在性, 唯一性

Abstract: The existence and uniqueness of solutions for a class of three-point boundary value problems of fractional differential equations with Hilfer-Hadamard type fractional derivatives are studied. With Leray-Schauder alternative theorem and Banach fixed point theorem, the results for the existence and uniqueness of solutions for the boundary value problems are obtained.

Key words: Hilfer-Hadamard fractional derivatives, boundary value problems, fixed point theorem, existence, uniquencess

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