On positive solution to multi-point fractional $h$-sum eigenvalue problems for Caputo fractional $h$-difference equations

Abstract

In this article, we study the existence of at least one positive solution to a multi-point fractional $h$-sum eigenvalue problem for Caputo fractional $h$-difference equation, by using the Guo-Krasnoselskii's fixed point theorem. Morover, we present some examples to display the importance of these results.