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Article

Graef, John R. ; Heidarkhani, Shapour ; Kong, Lingju ; Moradi, Shahin
Existence results for impulsive fractional differential equations with $p$-Laplacian via variational methods. (English). Mathematica Bohemica, vol. 147 (2022), issue 1, pp. 95-112
MSC: 26A33, 34A08, 34B15, 34B37, 34K45 | MR 4387470 | Zbl 07547243 | DOI: 10.21136/MB.2021.0104-19
Keywords:
fractional $p$-Laplacian; impulsive effect; classical solution; variational method
Summary:
This paper presents several sufficient conditions for the existence of at least one classical solution to impulsive fractional differential equations with a $p$-Laplacian and Dirichlet boundary conditions. Our technical approach is based on variational methods. Some recent results are extended and improved. Moreover, a concrete example of an application is presented.
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