Existence of Some Positive Solutions to Fractional Difference Equation

TL;DR

This paper investigates the existence of positive solutions for certain fractional difference equations using fixed point theorems, providing conditions that guarantee at least two solutions.

Contribution

It introduces new existence results for positive solutions to fractional difference equations using Krasnosel'skii fixed point theorem.

Findings

Guarantees at least two positive solutions under certain conditions

Establishes existence criteria for fractional difference equations

Utilizes Krasnosel'skii fixed point theorem effectively

Abstract

The main objective of this paper is to study the existence of solutions to some basic fractional difference equations. The tools employed are Krasnosel'skii fixed point theorem which guarantee at least two positive solutions.