Multiple positive solution to boundary value problems for a coupled systems of nonlinear semipositone fractional differential equations

被引：0

作者：

Yang Donghui ^{[1
]}

Yuan Chengjun ^{[2
]}

机构：

[1] Heilongjiang Nat Coal Mine Equipment Lease Co, Harbin 150001, Peoples R China

[2] Harbin Univ, Sch Sci, Harbin 150080, Peoples R China

来源：

PROCEEDINGS OF THE 2012 24TH CHINESE CONTROL AND DECISION CONFERENCE (CCDC) | 2012年

基金：

黑龙江省自然科学基金;

关键词：

Riemann-Liouville's fractional derivative; Boundary-value problem; Positive solution; Fixed-point theorem; EXISTENCE; UNIQUENESS;

D O I：

暂无

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

In this paper, we considered some new existence results for the existence of solutions for a class of boundary value problem of semipositone nonlinear fractional coupled differential equation involving the Riemann-Liouville's fractional derivative. While the nonlinear terms being continuous and semipositive, we derive an interval of the eigenvalue parameter. lambda such that any.lambda lying in this interval, the semipositive boundary value problem has multiple positive solutions. Some examples are also given to illustrate the main results.

引用

页码：1343 / 1348

页数：6

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