POSITIVE SOLUTIONS FOR FRACTIONAL INTEGRAL BOUNDARY VALUE PROBLEM WITH DERIVATIVE DEPENDENCE

被引：1

作者：

Shen, Changsong ^{[1
]}

Hao, Xinan ^{[1
]}

机构：

[1] Qufu Normal Univ, Sch Math Sci, Qufu 273165, Shandong, Peoples R China

来源：

ROCKY MOUNTAIN JOURNAL OF MATHEMATICS | 2023年 / 53卷 / 04期

基金：

中国国家自然科学基金;

关键词：

fractional integral boundary value problem; fixed-point index; positive solution; existence; multiplicity;

D O I：

10.1216/rmj.2023.53.1265

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We study the positive solutions for fractional integral boundary value problem with derivative dependence. Some properties of the associated Green function are established. By using the Guo-Krasnoselskii fixed-point theorem on cones, the existence results for positive solutions are obtained. Under certain monotone-type assumption on the nonlinearity, we establish the criteria of existence, multiplicity and nonexistence of positive solutions via the fixed-point index theory.

引用

页码：1265 / 1283

页数：19

共 5 条

[1] Guo D.J., 1988, Notes and Reports in Mathematics in Science and Engineering, V5
[2] Existence of positive solutions for singular fractional differential equations with infinite-point boundary conditions
Guo, Limin
Liu, Lishan
Wu, Yonghong
[J]. NONLINEAR ANALYSIS-MODELLING AND CONTROL, 2016, 21 (05): : 635 - 650
[3] Kilbas A. A., 2006, THEORY APPL FRACTION
[4] Podlubny I., 1998, FRACTIONAL DIFFERENT
[5] On a singular Riemann-Liouville fractional boundary value problem with parameters
Tudorache, Alexandru
Luca, Rodica
[J]. NONLINEAR ANALYSIS-MODELLING AND CONTROL, 2021, 26 (01): : 151 - 168

← 1 →