SOLVABILITY FOR A COUPLED SYSTEM OF PERTURBED IMPLICIT FRACTIONAL DIFFERENTIAL EQUATIONS WITH PERIODIC AND ANTI-PERIODIC BOUNDARY CONDITIONS

被引：3

作者：

Zhang, Wei ^{[1
,2
]}

Ni, Jinbo ^{[1
]}

机构：

[1] Anhui Univ Sci & Technol, Sch Math & Big Data, Huainan 232001, Anhui, Peoples R China

[2] China Univ Min & Technol, Sch Math, Xuzhou 221116, Jiangsu, Peoples R China

来源：

JOURNAL OF APPLIED ANALYSIS AND COMPUTATION | 2021年 / 11卷 / 06期

关键词：

Implicit fractional differential equation; periodic and anti-periodic boundary conditions; abstract continuation theorem; k-set contraction; coupled system; P-LAPLACIAN; EXISTENCE; ORDER; MULTIPLE;

D O I：

10.11948/20210052

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we first provide a refinement result for the abstract continuation theorem for k-set contractions. The new version of the theorem is equivalent to the usual one and it better adapts to study the existence of solutions for nonlinear differential equations. Then we discuss a new class of coupled system of implicit fractional boundary value problem. The nonlinear terms of equations involving perturbations, and the boundary conditions are constituted by periodic and anti-periodic boundary conditions. Based on the abstract continuation theorem for k-set contractions, an interesting existence result is obtained. Finally, an example is constructed for illustrating the application of our main results.

引用

页码：2876 / 2894

页数：19

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