Measure of non-compactness for nonlocal boundary value problems via (k, ?)-Riemann-Liouville derivative on unbounded domain

被引：2

作者：

Aphithana, Aphirak ^{[1
]}

Sudsutad, Weerawat ^{[2
]}

Kongson, Jutarat ^{[3
]}

Thaiprayoon, Chatthai ^{[3
]}

机构：

[1] Suvarnabhumi Inst Technol, Fac Engn Sci & Technol, Samut Prakan 10540, Thailand

[2] Ramkhamhang Univ, Fac Sci, Dept Stat, Theoret & Appl Data Integrat Innovat Grp, Bangkok 10240, Thailand

[3] Burapha Univ, Fac Sci, Dept Math, Res Grp Theoret & Computat Appl Sci, Chon Buri 20131, Thailand

来源：

AIMS MATHEMATICS | 2023年 / 8卷 / 09期

关键词：

boundary value problem; fixed point theorem; (k; )-Riemann-Liouville fractional derivative; measure of noncompactness; Meir-Keeler condensing operators; FRACTIONAL DIFFERENTIAL-EQUATIONS; EXISTENCE;

D O I：

10.3934/math.20231020

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we investigate the existence result for (k, ?)-Riemann-Liouville fractional differential equations via nonlocal conditions on unbounded domain. The main result is proved by applying a fixed-point theorem for Meir-Keeler condensing operators with a measure of noncompactness. Finally, two numerical examples are also demonstrated to confirm the usefulness and applicability of our theoretical results.

引用

页码：20018 / 20047

页数：30

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