Solvability of Nonlinear Impulsive Generalized Fractional Differential Equations with (p,q)-Laplacian Operator via Critical Point Theory

In this paper, we consider the nonlinear impulsive generalized fractional differential equations with (p,q)-Laplacian operator for 1<p≤q<∞, in which nonlinearity f contains two derivatives respect to another function. Since complexity of term and impulses exist calculus, it is difficult find corresponding variational functional problem. The existence nontrivial solutions problem established by mountain pass theorem iterative technique under some appropriate assumptions. Furthermore, our main result demonstrated an illustrative example show its feasibility effectiveness. Due employment a operator, results extend existing research findings.