Existence of solutions to nonlinear Katugampola fractional differential equations with mixed fractional boundary conditions

被引：3

作者：

Lupinska, Barbara ^{[1
]}

机构：

[1] Univ Bialystok, Inst Comp Sci, Bialystok, Poland

来源：

MATHEMATICAL METHODS IN THE APPLIED SCIENCES | 2023年 / 46卷 / 11期

关键词：

fixed-point theorem; Katugampola fractional derivative; mixed boundary value problem; nonlinear fractional differential equations;

D O I：

10.1002/mma.8894

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we discuss the existence and the uniqueness of solutions for a class of nonlinear fractional differential equations with a mixed fractional boundary value, by using Banach fixed-point theorem. Moreover, we compare obtained results with another two works considering similar problem.

引用

页码：12007 / 12017

页数：11

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[4]

Kaczorek T, 2011, LECT NOTES CONTR INF, V411, P1, DOI 10.1007/978-3-642-20502-6