A critical point approach to non-local complex systems of fractional discrete equations

Abstract

Discrete fractional equations have emerged across various fields such as science, engineering, economics, and finance to better capture the characteristics of non-local complex systems. In this discussion, we explore the existence of at least three unique solutions for discrete fractional boundary value problems featuring a p-Laplacian operator, provided suitable hypotheses on nonlinear terms are met. Our approach primarily relies on variational methods and critical points theorems. Additionally, we present an example to demonstrate the implications of our findings.