The Nehari manifold for a<i>ψ</i>-Hilfer fractional<i>p</i>-Laplacian

In this paper, we discuss the existence and non-existence of weak solutions to the non-linear problem with a fractional p-Laplacian introduced by the ψ-Hilfer fractional operator, by combining the technique of Nehari manifolds and fibering maps. Also, we obtain some results on the ψ-Hilfer fractional operator and the Nehari manifold via the Euler functional.