Oscillation criteria for nonlinear fractional (p, q)-difference equations

Abstract The main aim of this paper is to investigate the oscillatory behavior of solutions for nonlinear Riemann-Liouville fractional ( p , q )-difference equations. We obtain sufficient conditions for the oscillation of solutions using Young’s inequality and various other inequalities. Additionally, we present results by substituting the Riemann-Liouville ( p , q )-differential operator with the Caputo ( p , q )-fractional difference operator. It is noteworthy that some MATLAB codes for the ( p , q )-analogues, ( p , q )-derivatives, ( p , q )-integrals, and ( p , q )-gamma functions are provided. Finally, two illustrative examples validate the main theorems presented in this paper.