Work

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

Year: 2025

Type: article

Abstract: In this work, we establish the existence of at least one solution for a p-Laplacian Langevin differential equation involving the ψ-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.

Source: Fractal and Fractional

DOI: 10.3390/fractalfract9030194

Authors: Lamya Almaghamsi, Samah Horrigue

Institutions: University of Jeddah, Tunis University

Language: English

Topic: Nonlinear Differential Equations Analysis

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: gold

Estimated APC paid: $3,258

Funder: University of Jeddah