Abstract
In the current contribution, an appropriate quantity connected to the space of all convergent sequences is provided and shown to be a measure of noncompactness in a Banach space. Through the application of the fixed point theorems of Darbo and Meir-Keeler, this amount is used to discuss whether a solution to an infinite system of fractional Sturm-Liouville operators exists. We offer a numerical example as an application of the key finding in the study.