Existence Results for Some p-Laplacian Langevin Problems with a ψ-Hilfer Fractional Derivative with Antiperiodic Boundary Conditions

In this work, we establish the existence of at least one solution for a p-Laplacian Langevin differential equation involving the psi-Hilfer fractional derivative with antiperiodic boundary conditions. More precisely, we transform the studied problem into a Hammerstein integral equation, and after that, we use the Schafer fixed point theorem to prove the existence of at least one solution. Two examples are provided to validate the main result.