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

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.

Keywords

• boundary value problem
• fixed point theorem
• $ (k
• \psi) $-riemann-liouville fractional derivative
• measure of noncompactness
• meir-keeler condensing operators