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Volume 8
Issue 4
10.3390/math8040475
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Article

Existence of Weak Solutions for a New Class of Fractional p-Laplacian Boundary Value Systems

by
Fares Kamache
1,†,
Rafik Guefaifia
1,†,
Salah Boulaaras
2,3,*,† and
Asma Alharbi
2,†
1
Laboratory of Mathematics, Informatics and systemes (LAMIS), University of Larbi Tebessi, 12000 Tebessa, Algeria
2
Department of Mathematics, College of Sciences and Arts, Al-Rass, Qassim University, 51452 Qassim, Saudi Arabia
3
Laboratory of Fundamental and Applied Mathematics of Oran (LMFAO), University of Oran 1 Ahmed Ben Bella, 31000 Oran, Algeria
*
Author to whom correspondence should be addressed.
†
These authors contributed equally to this work.
Mathematics 2020, 8(4), 475; https://doi.org/10.3390/math8040475
Submission received: 2 March 2020 / Revised: 23 March 2020 / Accepted: 28 March 2020 / Published: 31 March 2020
Versions Notes

Abstract

In this paper, at least three weak solutions were obtained for a new class of dual non-linear dual-Laplace systems according to two parameters by using variational methods combined with a critical point theory due to Bonano and Marano. Two examples are given to illustrate our main results applications.
Keywords: nonlinear fractional; dirichlet boundary value problems; p-Laplacian type; variational method; critical point theory nonlinear fractional; dirichlet boundary value problems; p-Laplacian type; variational method; critical point theory

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MDPI and ACS Style

Kamache, F.; Guefaifia, R.; Boulaaras, S.; Alharbi, A. Existence of Weak Solutions for a New Class of Fractional p-Laplacian Boundary Value Systems. Mathematics 2020, 8, 475. https://doi.org/10.3390/math8040475

AMA Style

Kamache F, Guefaifia R, Boulaaras S, Alharbi A. Existence of Weak Solutions for a New Class of Fractional p-Laplacian Boundary Value Systems. Mathematics. 2020; 8(4):475. https://doi.org/10.3390/math8040475

Chicago/Turabian Style

Kamache, Fares, Rafik Guefaifia, Salah Boulaaras, and Asma Alharbi. 2020. "Existence of Weak Solutions for a New Class of Fractional p-Laplacian Boundary Value Systems" Mathematics 8, no. 4: 475. https://doi.org/10.3390/math8040475

APA Style

Kamache, F., Guefaifia, R., Boulaaras, S., & Alharbi, A. (2020). Existence of Weak Solutions for a New Class of Fractional p-Laplacian Boundary Value Systems. Mathematics, 8(4), 475. https://doi.org/10.3390/math8040475

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