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

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.