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

Aphirak Aphithana, Weerawat Sudsutad, Jutarat Kongson, Chatthai Thaiprayoon

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Source: Crossref

Published: Jan 1, 2023

DOI: 10.3934/math.20231020

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Source abstract

<abstract><p>In this paper, we investigate the existence result for (k,ψ) (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>

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