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

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. Fin...

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Published inAIMS mathematics Vol. 8; no. 9; pp. 20018 - 20047
Main Authors Aphithana, Aphirak, Sudsutad, Weerawat, Kongson, Jutarat, Thaiprayoon, Chatthai
Format Journal Article
LanguageEnglish
Published AIMS Press 01.01.2023
Subjects
boundary value problem
fixed point theorem
k
measure of noncompactness
meir-keeler condensing operators
psi) $-riemann-liouville fractional derivative
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Abstract 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.
AbstractList 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.
Author Thaiprayoon, Chatthai
Sudsutad, Weerawat
Kongson, Jutarat
Aphithana, Aphirak
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SubjectTerms boundary value problem
fixed point theorem
k
measure of noncompactness
meir-keeler condensing operators
psi) $-riemann-liouville fractional derivative
Title Measure of non-compactness for nonlocal boundary value problems via $ (k, \psi) $-Riemann-Liouville derivative on unbounded domain
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