The existence results for a fractional Riemann-Liouville boundary value problem involving the p-Laplace operator

In the present paper, we will study the multiplicity of solutions for some classes of boundary value problems involving the Riemann Liouville operators and the $p$-Laplacian operator. The result is based on the Nehari manifold method and the fibering map analysis. To demonstrate the result, an example is presented.

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Publication Details

Journal
Boletim da Sociedade Paranaense de Matemática
Published
2025-05-29
DOI
https://doi.org/10.5269/bspm.63209
Primary Topic
Differential Equations and Boundary Problems
Type
article
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article

The existence results for a fractional Riemann-Liouville boundary value problem involving the p-Laplace operator

Alaa E. Hamza, Abdeljabbar Ghanmi, Sultan bin Huwaidi Al-Mutairi
Boletim da Sociedade Paranaense de Matemática
Differential Equations and Boundary Problems
article

The existence results for a fractional Riemann-Liouville boundary value problem involving the p-Laplace operator

Alaa E. Hamza, Abdeljabbar Ghanmi, Sultan bin Huwaidi Al-Mutairi
article en

Abstract

In the present paper, we will study the multiplicity of solutions for some classes of boundary value problems involving the Riemann Liouville operators and the $p$-Laplacian operator. The result is based on the Nehari manifold method and the fibering map analysis. To demonstrate the result, an example is presented.

Boletim da Sociedade Paranaense de MatemáticaVol. 43
Tunis University (TN), Cairo University (EG), University of Jeddah (SA)
Openalex Percentile: Top 67%
Differential Equations and Boundary Problems
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The existence results for a fractional Riemann-Liouville boundary value problem involving the p-Laplace operator — Alaa E. Hamza, Abdeljabbar Ghanmi, et al. · Boletim da Sociedade Paranaense de Matemática (2025) | TGRS Research Map | TGRS