Positive Solutions for ( <i>p</i> , <i>q</i> )‐Laplacian Impulsive Fractional Differential Equations With the Degenerate or Nondegenerate Kirchhoff Term

ABSTRACT The paper deals with the existence and multiplicity of positive solutions for ‐Laplacian Kirchhoff‐type impulsive fractional differential equations. First, in the degenerate case, we prove that this equation has at least a positive solution based on the mountain pass theorem for any sufficiently large, and the solution converges to zero as . Then, by applying the Ekeland variational principle, at least a positive solution is obtained when is sufficiently small, and the solution converges to zero as . Moreover, in the nondegenerate case, we establish the existence of infinitely many solutions by using truncation arguments and Krasnoselskii's genus theory when is sufficiently small.