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

• Published in: AIMS mathematics Vol. 8; no. 9; pp. 20018 - 20047
• Main Authors: Aphithana, Aphirak, Sudsutad, Weerawat, Kongson, Jutarat, Thaiprayoon, Chatthai
• Format: Journal Article
• Language: English
• 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

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...