Existence results for impulsive fractional differential equations with \(p\)-Laplacian via variational methods. (English) Zbl 07547243

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

Math. Bohem. 147, No. 1, 95-112 (2022).

Using one of the variants of the Ricceri variational principle the authors provide several sufficient conditions leading to the existence of at least one classical solution to impulsive fractional differential equations with a \(p\)-Laplacian and Dirichlet boundary conditions. The applicability of the results is illustrated by suitably chosen examples and via special cases and variants.

Reviewer: Marek Galewski (Łódź)

MSC:

26A33	Fractional derivatives and integrals
34B15	Nonlinear boundary value problems for ordinary differential equations
34K45	Functional-differential equations with impulses

Keywords:

fractional \(p\)-Laplacian; impulsive effect; classical solution; variational method