Forced oscillation of certain impulsive fractional partial differential equations with forcing term

We consider the forced oscillation problems for a kind of nonlinear impulsive fractional partial differential equations with forcing term under Neumann’s boundary value condition. First, we establish the comparison theorems for forced oscillation of solutions of such equations via integral averaging method, then we obtain the explicit sufficiency criteria for forced oscillation of solutions of such equations by employing integral transformation technique as well as impulsive differential inequality method, and finally we provide an example to illustrate the effectiveness and applicability of the main results.