Perturbation results for some nonlinear equations involving fractional operators

TL;DR

This paper employs a perturbation method within critical point theory to establish the existence of solutions for nonlinear equations involving fractional differential operators.

Contribution

It introduces a perturbation approach to analyze nonlinear fractional equations, expanding the theoretical framework for such problems.

Findings

Existence of solutions proven for specific fractional equations

Application of perturbation techniques in critical point theory

Advancement in solving nonlinear fractional differential equations

Abstract

By using a perturbation technique in critical point theory, we prove the existence of solutions for two types of nonlinear equations involving fractional differential operators.