Existence results for impulsive fractional differential equations with $p$-Laplacian via variational methods
Mathematica Bohemica, Tome 147 (2022) no. 1, pp. 95-112
Cet article a éte moissonné depuis la source Czech Digital Mathematics Library
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.
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.
DOI :
10.21136/MB.2021.0104-19
Classification :
26A33, 34A08, 34B15, 34B37, 34K45
Keywords: fractional $p$-Laplacian; impulsive effect; classical solution; variational method
Keywords: fractional $p$-Laplacian; impulsive effect; classical solution; variational method
@article{10_21136_MB_2021_0104_19,
author = {Graef, John R. and Heidarkhani, Shapour and Kong, Lingju and Moradi, Shahin},
title = {Existence results for impulsive fractional differential equations with $p${-Laplacian} via variational methods},
journal = {Mathematica Bohemica},
pages = {95--112},
year = {2022},
volume = {147},
number = {1},
doi = {10.21136/MB.2021.0104-19},
mrnumber = {4387470},
zbl = {07547243},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.21136/MB.2021.0104-19/}
}
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 SP - 95 EP - 112 VL - 147 IS - 1 UR - http://geodesic.mathdoc.fr/articles/10.21136/MB.2021.0104-19/ DO - 10.21136/MB.2021.0104-19 LA - en ID - 10_21136_MB_2021_0104_19 ER -
%0 Journal Article %A Graef, John R. %A Heidarkhani, Shapour %A Kong, Lingju %A Moradi, Shahin %T Existence results for impulsive fractional differential equations with $p$-Laplacian via variational methods %J Mathematica Bohemica %D 2022 %P 95-112 %V 147 %N 1 %U http://geodesic.mathdoc.fr/articles/10.21136/MB.2021.0104-19/ %R 10.21136/MB.2021.0104-19 %G en %F 10_21136_MB_2021_0104_19
Graef, John R.; Heidarkhani, Shapour; Kong, Lingju; Moradi, Shahin. Existence results for impulsive fractional differential equations with $p$-Laplacian via variational methods. Mathematica Bohemica, Tome 147 (2022) no. 1, pp. 95-112. doi: 10.21136/MB.2021.0104-19
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