Positive Solutions for a High-Order Riemann-Liouville Type Fractional Integral Boundary Value Problem Involving Fractional Derivatives

被引：8

作者：

Wang, Wuyang ^{[1
]}

Ye, Jun ^{[2
]}

Xu, Jiafa ^{[3
]}

O'Regan, Donal ^{[4
]}

机构：

[1] Nanjing Univ Posts & Telecommun, Bell Honors Sch, Nanjing 210023, Peoples R China

[2] Nanjing Univ Posts & Telecommun, Coll Sci, Nanjing 210023, Peoples R China

[3] Chongqing Normal Univ, Sch Math Sci, Chongqing 401331, Peoples R China

[4] Univ Galway, Sch Math & Stat Sci, Galway H91 TK33, Ireland

来源：

SYMMETRY-BASEL | 2022年 / 14卷 / 11期

关键词：

Riemann-Liouville fractional differential equations; integral boundary value problems; positive solutions; fixed point index; DIFFERENTIAL-EQUATIONS; EXISTENCE; UNIQUENESS;

D O I：

10.3390/sym14112320

中图分类号：

O [数理科学和化学]; P [天文学、地球科学]; Q [生物科学]; N [自然科学总论];

学科分类号：

07 ; 0710 ; 09 ;

摘要：

In this paper, under some super- and sub-linear growth conditions, we study the existence of positive solutions for a high-order Riemann-Liouville type fractional integral boundary value problem involving fractional derivatives. Our analysis methods are based on the fixed point index and nonsymmetric property of the Green function. Additionally, we provide some valid examples to illustrate our main results.

引用

页数：14

共 29 条

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