Fractional coupled systems, ( p , q ) $(p,q)$ -Laplacian, Multiplicity, Clark’s theorem, Impulsive effects, The least action principle, Mathematics, QA1-939

Abstract In this paper, by using the least action principle, an existence result of nontrivial weak solutions for a class of fractional impulsive coupled systems with (p,q) $(p,q)$-Laplacian is obtained if the nonlinear term has sub- (p,q) $(p,q)$ linear growth, and by using an extension of Clark’s theorem, infinitely many solutions of the system are obtained if the nonlinear term has partial sub- (p,q) $(p,q)$ linear growth.