The Nehari Manifold for a Class of Singular ψ-Riemann-Liouville Fractional with p-Laplacian Operator Differential Equations

Using Nehari manifold method combined with fibring maps, we show the existence of nontrivial, weak, positive solutions of the nonlinear ψ-Riemann-Liouville fractional boundary value problem involving the p-Laplacian operator, given by (P)where λ > 0, 0 < γ < 1 < p and 1 p < α ≤ 1, g ∈ C([0,T]) and f ∈ C 1 ([0,T]×R,R).A useful examples are presented in order to illustrate the validity of our main results.