DOAJ Open Access 2025

Existence Results for Some <i>p</i>-Laplacian Langevin Problems with a <i>ψ</i>-Hilfer Fractional Derivative with Antiperiodic Boundary Conditions

Lamya Almaghamsi Samah Horrigue

Abstrak

In this work, we establish the existence of at least one solution for a <i>p</i>-Laplacian Langevin differential equation involving the <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mi>ψ</mi></semantics></math></inline-formula>-Hilfer fractional derivative with antiperiodic boundary conditions. More precisely, we transform the studied problem into a Hammerstein integral equation, and after that, we use the Schafer fixed point theorem to prove the existence of at least one solution. Two examples are provided to validate the main result.

Penulis (2)

L

Lamya Almaghamsi

S

Samah Horrigue

Format Sitasi

Almaghamsi, L., Horrigue, S. (2025). Existence Results for Some <i>p</i>-Laplacian Langevin Problems with a <i>ψ</i>-Hilfer Fractional Derivative with Antiperiodic Boundary Conditions. https://doi.org/10.3390/fractalfract9030194

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Informasi Jurnal
Tahun Terbit
2025
Sumber Database
DOAJ
DOI
10.3390/fractalfract9030194
Akses
Open Access ✓