Work

Solvability of a Coupled System of Hadamard Fractional p-Laplacian Differential Equations with Infinite-Point Boundary Conditions at Resonance on an Unbounded Interval

Year: 2025

Type: article

Abstract: This paper investigates a coupled system of Hadamard fractional p-Laplacian differential equations defined on an unbounded interval, subject to infinitely many points boundary conditions and formulated under a resonance framework. Under suitable growth assumptions imposed on the nonlinear terms of the system, the existence of solutions is established by means of the Ge–Mawhin’s continuation theorem. Moreover, an example is constructed to demonstrate the applicability of the main results.

Source: Fractal and Fractional

DOI: 10.3390/fractalfract9110688

Authors: Yao Lu, Wei Zhang, Quanxin Zhu

Institutions: Guangdong Polytechnic Normal University, Anhui University of Science and Technology, Hunan Normal 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

Funders: Natural Science Foundation of Hainan Province, Natural Science Foundation of Anhui Province