Periodic boundary value problems for higher-order fractional differential systems

被引：19

作者：

Feckan, Michal ^{[1
,2
]}

Marynets, Kateryna ^{[3
]}

Wang, JinRong ^{[4
,5
]}

机构：

[1] Comenius Univ, Dept Math Anal & Numer Math, Bratislava 84248, Slovakia

[2] Slovak Acad Sci, Math Inst, Stefanikova 49, Bratislava 81473, Slovakia

[3] Uzhgorod Natl Univ, Dept Differential Equat & Math Phys, Narodna Sq 3, UA-388000 Uzhgorod, Ukraine

[4] Guizhou Univ, Dept Math, Guiyang 550025, Guizhou, Peoples R China

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

来源：

MATHEMATICAL METHODS IN THE APPLIED SCIENCES | 2019年 / 42卷 / 10期

基金：

中国国家自然科学基金;

关键词：

Bernoulli polynomials; fractional differential systems; Landesman-Lazer-type conditions; periodic boundary value problems; EXISTENCE;

D O I：

10.1002/mma.5601

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Approximation of solutions of fractional differential systems (FDS) of higher orders is studied for periodic boundary value problem (PBVP). We propose a numerical-analytic technique to construct a sequence of functions convergent to the limit function, which is a solution of the given PBVP, if the corresponding determined equation has a root. We also study scalar fractional differential equations (FDE) with asymptotically constant nonlinearities leading to Landesman-Lazer-type conditions.

引用

页码：3616 / 3632

页数：17

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