Multiplicity of solutions for the Dirichlet boundary value problem to a fractional quasilinear differential model with impulses

Abstract

Abstract This paper aims to consider the multiplicity of solutions for a kind of boundary value problem to a fractional quasilinear differential model with impulsive effects. By establishing a new variational structure and overcoming the difficulties brought by the influence of impulsive effects, some new results are acquired via the symmetry mountain-pass theorem, which extend and enrich some previous results.

Keywords

• Fractional differential equation
• Boundary value problem
• Multiplicity
• Impulsive effect