Fractional Partial Differential Equations with Damping Term: Oscillatory Features of Solutions

In this paper, we consider a nonlinear fractional partial differential equation with damping term subject to Robin and Dirichlet boundary value conditions. Several new sufficient conditions are established for oscillation of solutions of such equation by using the integral averaging method as well as generalized Riccati transformation technique. The obtained results can provide important mathematical tools for solving some practical problems in statistics systems and stochastic processes and other applied fields. The relevance of the main results are illustrated by two examples.