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

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

Mathematica Bohemica (2022)

  • Volume: 147, Issue: 1, page 95-112
  • ISSN: 0862-7959

Abstract

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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.

How to cite

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Graef, John R., et al. "Existence results for impulsive fractional differential equations with $p$-Laplacian via variational methods." Mathematica Bohemica 147.1 (2022): 95-112. <http://eudml.org/doc/297885>.

@article{Graef2022,
abstract = {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.},
author = {Graef, John R., Heidarkhani, Shapour, Kong, Lingju, Moradi, Shahin},
journal = {Mathematica Bohemica},
keywords = {fractional $p$-Laplacian; impulsive effect; classical solution; variational method},
language = {eng},
number = {1},
pages = {95-112},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Existence results for impulsive fractional differential equations with $p$-Laplacian via variational methods},
url = {http://eudml.org/doc/297885},
volume = {147},
year = {2022},
}

TY - JOUR
AU - Graef, John R.
AU - Heidarkhani, Shapour
AU - Kong, Lingju
AU - Moradi, Shahin
TI - Existence results for impulsive fractional differential equations with $p$-Laplacian via variational methods
JO - Mathematica Bohemica
PY - 2022
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 147
IS - 1
SP - 95
EP - 112
AB - 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.
LA - eng
KW - fractional $p$-Laplacian; impulsive effect; classical solution; variational method
UR - http://eudml.org/doc/297885
ER -

References

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