Existence of solutions to discrete boundary value problem of fractional difference equations

TL;DR

This paper establishes conditions under which solutions exist for discrete boundary value problems involving fractional difference equations, using fixed point theory.

Contribution

It provides new sufficient conditions for existence of solutions to fractional difference boundary value problems using Krasnoselskii fixed point theorem.

Findings

Sufficient conditions for solution existence derived

Application of Krasnoselskii fixed point theorem demonstrated

Results depend on parameter conditions

Abstract

In this paper, we obtained the sufficient conditions for the existence of solutions to the discrete boundary value problems of fractional difference equation depending on parameters. We use Krasnoselskii fixed point theorem to establish the existence results.