Existence results for impulsive fractional differential equations with $p$-Laplacian via variational methods

Graef, John R. ; Heidarkhani, Shapour ; Kong, Lingju ; Moradi, Shahin

Mathematica Bohemica, Tome 147 (2022) no. 1, pp. 95-112

Abstract (VO)

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.

Détail

DOI : 10.21136/MB.2021.0104-19

Classification : 26A33, 34A08, 34B15, 34B37, 34K45
Keywords: fractional $p$-Laplacian; impulsive effect; classical solution; variational method

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