Work

A Class of ψ-Hilfer Fractional Pantograph Equations with Functional Boundary Data at Resonance

Year: 2025

Type: article

Abstract: In this paper, we explore the outcomes related to the existence of nonlocal functional boundary value problems associated with pantograph equations utilizing ψ-Hilfer fractional derivatives. The nonlinear term relies on unknown functions which contain a proportional delay term and their fractional derivatives in a higher order. We discuss various existence results for the different “smoothness” requirements of the unknown function by means of Mawhin’s coincidence theory at resonance. We wrap up by providing a detailed explanation accompanied by an illustration of one of the outcomes.

Source: Fractal and Fractional

DOI: 10.3390/fractalfract9030186

Authors: Bingzhi Sun, Shuqin Zhang, Tianhu Yu, Shanshan Li

Institutions: Luoyang Normal University, China University of Mining and Technology - Beijing, Yantai 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: National Natural Science Foundation of China, Natural Science Foundation of Henan Province