New Van der Pol–Duffing Jerk Fractional Differential Oscillator of Sequential Type

The subject of this paper is the existence, uniqueness and stability solutions for a new sequential Van der Pol–Duffing (VdPD) jerk fractional differential oscillator with Caputo–Hadamard derivatives. arguments are based upon Banach contraction principle, Krasnoselskii fixed-point theorem Ulam–Hyers stabilities. As applications, one illustrative example included to show applicability our results.