Measure of non-compactness for nonlocal boundary value problems via $ (k, \psi) $-Riemann-Liouville derivative on unbounded domain-Reference-Cited by-同舟云学术

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

Published:2023 Issue:9 Volume:8 Page:20018-20047
ISSN:2473-6988
Container-title:AIMS Mathematics
language:
Short-container-title:MATH

Author:

Aphithana Aphirak¹,Sudsutad Weerawat²,Kongson Jutarat³,Thaiprayoon Chatthai³

Affiliation:

1. Faculty of Engineering Science and Technology, Suvarnabhumi Institute of Technology, Samut Prakan 10540, Thailand

2. Theoretical and Applied Data Integration Innovations Group, Department of Statistics, Faculty of Science, Ramkhamhaeng University, Bangkok 10240, Thailand

3. Research Group of Theoretical and Computational Applied Science, Department of Mathematics, Faculty of Science, Burapha University, Chonburi 20131, Thailand

Abstract

<abstract><p>In this paper, we investigate the existence result for $ (k, \psi) $-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.</p></abstract>

Publisher

American Institute of Mathematical Sciences (AIMS)

Subject

General Mathematics

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