Existence of positive solutions for fractional differential equation involving integral boundary conditions with p-Laplacian operator

被引：17

作者：

Li, Yunhong ^{[1
]}

机构：

[1] Hebei Univ Sci & Technol, Sch Sci, Shijiazhuang 050018, Hebei, Peoples R China

来源：

ADVANCES IN DIFFERENCE EQUATIONS | 2017年

关键词：

positive solutions; Riemann-Liouville fractional derivatives; Caputo fractional derivatives; p-Laplacian; Avery-Henderson fixed point theorem;

D O I：

10.1186/s13662-017-1172-8

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The existence of positive solutions is considered for a fractional differential equation with p-Laplacian operator in this article. By employing the Avery-Henderson fixed point theorem, a new result is obtained for the boundary value problems. An example is also presented to illustrate the effectiveness of the main result.

引用

页数：11

共 50 条

[31] Existence of positive solutions for a singular nonlinear fractional differential equation with integral boundary conditions involving fractional derivatives
Xiaoqian Liu
Lishan Liu
Yonghong Wu
Boundary Value Problems, 2018
[32] Existence and iteration of positive solution for fractional integral boundary value problems with p-Laplacian operator
Ying He
Bo Bi
Advances in Difference Equations, 2019
[33] Existence and iteration of positive solution for fractional integral boundary value problems with p-Laplacian operator
He, Ying
Bi, Bo
ADVANCES IN DIFFERENCE EQUATIONS, 2019, 2019 (01)
[34] Existence–uniqueness and monotone iteration of positive solutions to nonlinear tempered fractional differential equation with p-Laplacian operator
Bibo Zhou
Lingling Zhang
Gaofeng Xing
Nan Zhang
Boundary Value Problems, 2020
[35] Existence of positive solutions for a fourth-order differential equation with p-Laplacian and Riemann-Stieltjes integral boundary conditions
Wang, Yingqiu
Ji, Dehong
International Journal of Dynamical Systems and Differential Equations, 2024, 13 (04) : 393 - 411
[36] Multiple positive solutions for nonlinear mixed fractional differential equation with p-Laplacian operator
Li, Yunhong
ADVANCES IN DIFFERENCE EQUATIONS, 2019, 2019 (1)
[37] Multiple positive solutions for nonlinear mixed fractional differential equation with p-Laplacian operator
Yunhong Li
Advances in Difference Equations, 2019
[38] On the solvability of a fractional differential equation model involving the p-Laplacian operator
Liu, Xiping
Jia, Mei
Xiang, Xiufen
COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2012, 64 (10) : 3267 - 3275
[39] Existence and uniqueness of solutions to a fractional difference equation with p-Laplacian operator
Yongshun Zhao
Shurong Sun
Yongxiang Zhang
Journal of Applied Mathematics and Computing, 2017, 54 : 183 - 197
[40] Existence of solutions of fractional boundary value problems with p-Laplacian operator
Mahmudov, Nazim I.
Unul, Sinem
BOUNDARY VALUE PROBLEMS, 2015,

← 1 2 3 4 5 →