This research focuses on solving Kirchhoff-type fractional $ p $-Laplacian BVPs with hybrid impulsive effects (instantaneous and non-instantaneous types). Through the use of variational methods, the existence of solutions and multiple solutions for the aforementioned problem are established under assumptions weaker than the super-$ p $-linear Ambrosetti-Rabinowitz type growth condition. Finally, an example demonstrates the validity of the paper's main results.
Citation: Tingting Xue. Variational analysis of Kirchhoff-type fractional $ p $-Laplacian BVPs under simultaneous instantaneous and non-instantaneous impulses[J]. AIMS Mathematics, 2025, 10(11): 26293-26312. doi: 10.3934/math.20251156
This research focuses on solving Kirchhoff-type fractional $ p $-Laplacian BVPs with hybrid impulsive effects (instantaneous and non-instantaneous types). Through the use of variational methods, the existence of solutions and multiple solutions for the aforementioned problem are established under assumptions weaker than the super-$ p $-linear Ambrosetti-Rabinowitz type growth condition. Finally, an example demonstrates the validity of the paper's main results.
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Tingting Xue. Variational analysis of Kirchhoff-type fractional $ p $-Laplacian BVPs under simultaneous instantaneous and non-instantaneous impulses[J]. AIMS Mathematics, 2025, 10(11): 26293-26312. doi: 10.3934/math.20251156
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