| Volume 14, Number 6, 2024, Pages - DOI：10.11948/JAAC-2023-0465 |
| Solvability for coupled impulsive fractional problems of the Kirchhoff type with p&q-Laplacian |
| Yi Wang,Li xin Tian |
| Keywords:Kirchhoff fractional differential equations, p&q-Laplacian, impulsive problems, variational methods |
| Abstract: |
| In this paper, we investigate the existence and multiplicity of nontrivial solutions for the p&q-Laplacian Kirchhoff impulsive fractional differential equations through variational methods. By utilizing the Nehari manifold and fibering maps, we establish the existence of at least one nontrivial solution to such equations for any (λ,μ) ∈ Θ?. Furthermore, using the idea of truncation arguments and Krasnoselskii genus theory, we demonstrate the existence of infinitely many nontrivial solutions for the equation when Kirchhoff functions M1 and M2 are degenerate considering any (λ,μ) ∈ Θ??. |
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