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.
Topik & Kata Kunci
Penulis (2)
L
Lamya Almaghamsi
S
Samah Horrigue
Akses Cepat
PDF tidak tersedia langsung
Cek di sumber asli →Informasi Jurnal
- Tahun Terbit
- 2025
- Sumber Database
- DOAJ
- DOI
- 10.3390/fractalfract9030194
- Akses
- Open Access ✓