THE EXISTENCE OF SOLUTIONS OF INTEGRAL BOUNDARY VALUE PROBLEM FOR HILFER FRACTIONAL DIFFERENTIAL EQUATIONS WITH P-LAPLACIAN AT RESONANCE

被引：2
|
作者：
Meng, Fanmeng [1 ]
Jiang, Weihua [1 ]
Liu, Yujing [1 ]
Guo, Chunjing [1 ]
机构：
[1] Hebei Univ Sci & Technol, Coll Sci, Shijiazhuang, Hebei, Peoples R China
来源：
JOURNAL OF APPLIED ANALYSIS AND COMPUTATION | 2022年 / 12卷 / 06期
基金：
美国国家科学基金会; 中国国家自然科学基金;
关键词：
  Hilfer fractional derivative; continuous theorem; p; -Laplacian; resonance; boundary value problem; POSITIVE SOLUTIONS;
D O I：
10.11948/20210426
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
By using the extension of the continuous theorem of Ge and Ren, the solvability of integral boundary value problems for Hilfer fractional differ-ential equations with p-Laplacian is investigated. In order to get this conclu-sion, we construct appropriate Banach spaces and define suitable operators. At the end of the article, an example is given to illustrate our main results.
引用
收藏
页码：2268 / 2282
页数：15
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