Existence results of fractional differential equations with nonlocal double-integral boundary conditions br

被引：2
|
作者：
Yan, Debao [1 ]
机构：
[1] Heze Univ, Sch Math & Stat, Heze 274000, Peoples R China
来源：
MATHEMATICAL BIOSCIENCES AND ENGINEERING | 2023年 / 20卷 / 03期
关键词：
singular non-linear fractional differential equations; nonlocal double integral boundary conditions; uniqueness and existence of solutions; fixed-point theorems; POSITIVE SOLUTIONS; NUMERICAL APPROXIMATION; ORDER; UNIQUENESS;
D O I：
10.3934/mbe.2023206
中图分类号：
Q [生物科学];
学科分类号：
07 ; 0710 ; 09 ;
摘要：
This article presents the existence outcomes concerning a family of singular nonlinear dif-ferential equations containing Caputo's fractional derivatives with nonlocal double integral boundary conditions. According to the nature of Caputo's fractional calculus, the problem is converted into anequivalent integral equation, while two standard fixed theorems are employed to prove its uniqueness and existence results. An example is presented at the end of this paper to illustrate our obtained results
引用
收藏
页码：4437 / 4454
页数：18
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