Existence of solution for some singular Kirchhoff fractional boundary value problem

Abstract

In this work, we investigate the question of the existence of multiple solutions for some nonlinear singular p -fractional problem with Riemann-Liouville fractional derivative and of Kirchhoff type. Precisely, we employ the method of the Nehari manifold combined with the analysis of the fibering map in order to show the existence of at least two nontrivial weak solutions.