Multiplicity Solutions of Fractional Impulsive p-Laplacian Systems: New Result

In this paper, the existence of multiplicity distinct weak solutions is proved for differentiable functionals for perturbed systems of impulsive nonlinear fractional differential equations. Further, examples are given to show the feasibility and efficacy of the key findings. This work is an extensio...

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Main Authors: Rafik Guefaifia, Mohamed Abdalla, Tahar Bouali, Fares Kamache, Bahri Belkacem Cherif, Ibrahim Mekawy
Format: Article
Language:English
Published: Wiley 2021-01-01
Series:Journal of Function Spaces
Online Access:http://dx.doi.org/10.1155/2021/9957952
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author Rafik Guefaifia
Mohamed Abdalla
Tahar Bouali
Fares Kamache
Bahri Belkacem Cherif
Ibrahim Mekawy
author_facet Rafik Guefaifia
Mohamed Abdalla
Tahar Bouali
Fares Kamache
Bahri Belkacem Cherif
Ibrahim Mekawy
author_sort Rafik Guefaifia
collection DOAJ
description In this paper, the existence of multiplicity distinct weak solutions is proved for differentiable functionals for perturbed systems of impulsive nonlinear fractional differential equations. Further, examples are given to show the feasibility and efficacy of the key findings. This work is an extension of the previous works to Banach space.
format Article
id doaj-art-516f107f0d9e40d69f2faf0061cb9758
institution Kabale University
issn 2314-8896
2314-8888
language English
publishDate 2021-01-01
publisher Wiley
record_format Article
series Journal of Function Spaces
spelling doaj-art-516f107f0d9e40d69f2faf0061cb97582025-08-20T03:36:38ZengWileyJournal of Function Spaces2314-88962314-88882021-01-01202110.1155/2021/99579529957952Multiplicity Solutions of Fractional Impulsive p-Laplacian Systems: New ResultRafik Guefaifia0Mohamed Abdalla1Tahar Bouali2Fares Kamache3Bahri Belkacem Cherif4Ibrahim Mekawy5Department of Mathematics and Computer Science, Larbi Tebessi University, Tebessa, AlgeriaMathematics Department, Faculty of Science, King Khalid University, Abha 61471, Saudi ArabiaDepartment of Mathematics and Computer Science, Larbi Tebessi University, Tebessa, AlgeriaDepartment of Mathematics and Computer Science, Larbi Tebessi University, Tebessa, AlgeriaPreparatory Institute for Engineering Studies in Sfax, TunisiaDepartment of Mathematics, College of Sciences and Arts, ArRas, Qassim University, Saudi ArabiaIn this paper, the existence of multiplicity distinct weak solutions is proved for differentiable functionals for perturbed systems of impulsive nonlinear fractional differential equations. Further, examples are given to show the feasibility and efficacy of the key findings. This work is an extension of the previous works to Banach space.http://dx.doi.org/10.1155/2021/9957952
spellingShingle Rafik Guefaifia
Mohamed Abdalla
Tahar Bouali
Fares Kamache
Bahri Belkacem Cherif
Ibrahim Mekawy
Multiplicity Solutions of Fractional Impulsive p-Laplacian Systems: New Result
Journal of Function Spaces
title Multiplicity Solutions of Fractional Impulsive p-Laplacian Systems: New Result
title_full Multiplicity Solutions of Fractional Impulsive p-Laplacian Systems: New Result
title_fullStr Multiplicity Solutions of Fractional Impulsive p-Laplacian Systems: New Result
title_full_unstemmed Multiplicity Solutions of Fractional Impulsive p-Laplacian Systems: New Result
title_short Multiplicity Solutions of Fractional Impulsive p-Laplacian Systems: New Result
title_sort multiplicity solutions of fractional impulsive p laplacian systems new result
url http://dx.doi.org/10.1155/2021/9957952
work_keys_str_mv AT rafikguefaifia multiplicitysolutionsoffractionalimpulsiveplaplaciansystemsnewresult
AT mohamedabdalla multiplicitysolutionsoffractionalimpulsiveplaplaciansystemsnewresult
AT taharbouali multiplicitysolutionsoffractionalimpulsiveplaplaciansystemsnewresult
AT fareskamache multiplicitysolutionsoffractionalimpulsiveplaplaciansystemsnewresult
AT bahribelkacemcherif multiplicitysolutionsoffractionalimpulsiveplaplaciansystemsnewresult
AT ibrahimmekawy multiplicitysolutionsoffractionalimpulsiveplaplaciansystemsnewresult