Existence for fractional Dirichlet boundary value problem under barrier strip conditions

被引：43

作者：

Song, Qilin ^{[1
]}

Dong, Xiaooyu ^{[1
]}

Bai, Zhanbing ^{[1
]}

Chen, Bo ^{[2
]}

机构：

[1] Shandong Univ Sci & Technol, Coll Math & Syst Sci, Qingdao 266590, Peoples R China

[2] Shenzhen Univ, Coll Math & Stat, Shenzhen 518060, Peoples R China

来源：

JOURNAL OF NONLINEAR SCIENCES AND APPLICATIONS | 2017年 / 10卷 / 07期

关键词：

Barrier strips; fixed-point index; conformable fractional derivative; EQUATIONS; SOLVABILITY; OPERATOR; MODEL;

D O I：

10.22436/jnsa.010.07.19

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, a fixed-point theorem is used to establish existence results for fractional Dirichlet boundary value problem D(alpha)x(t) = f(t, x(t),D(alpha-1)x(t)), x(0) = A, x(1) = B, where 1 < alpha <= 2, D(alpha)x(t) is the conformable fractional derivative, and f : [0,1] x R-2 -> R is a continuous function. The main condition is sign condition. The method used is based upon the theory of fixed-point index. (C) 2017 All rights reserved.

引用

页码：3592 / 3598

页数：7

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