Nonlocal problems with singular nonlinearity

TL;DR

This paper studies the existence and uniqueness of solutions for a class of nonlocal fractional p-Laplacian problems with singular nonlinearities, expanding understanding of such complex differential equations.

Contribution

It introduces new results on the existence and uniqueness of solutions for nonlocal problems involving singular nonlinearities and the fractional p-Laplacian operator.

Findings

Established conditions for existence of solutions.

Proved uniqueness under certain assumptions.

Extended the theory of nonlocal nonlinear problems.

Abstract

We investigate existence and uniqueness of solutions for a class of nonlinear nonlocal problems involving the fractional $p$-Laplacian operator and singular nonlinearities.