Nonlocal semi-linear fractional-order boundary value problems with strip conditions

被引：0

作者：

Ahmad, B. ^{[1
]}

Alsaedi, A. ^{[1
]}

Alsharif, A. ^{[1
]}

机构：

[1] King Abdulaziz Univ, Jeddah, Saudi Arabia

来源：

JOURNAL OF CONTEMPORARY MATHEMATICAL ANALYSIS-ARMENIAN ACADEMY OF SCIENCES | 2017年 / 52卷 / 04期

关键词：

Fractional differential equation; nonlocal condition; strip; existence; fixed point; POSITIVE SOLUTIONS; DIFFERENTIAL-EQUATIONS; EXTREMAL SOLUTIONS; EXISTENCE;

D O I：

10.3103/S1068362317040033

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

This paper is concerned with the question of existence of solutions for one-dimensional higher-order semi-linear fractional differential equations supplemented with nonlocal strip type boundary conditions. The nonlocal strip condition addresses a situation where the linear combination of the values of unknown function at two nonlocal points, located to the left and right hand sides of the strip, respectively, is proportional to its strip value. The case of Stieltjes type strip condition is also discussed. Our results, relying on some standard fixed point theorems are supported with illustrative examples.

引用

页码：175 / 183

页数：9

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