Work

Existence and Stability Results for Fractional Fully Hybrid Elastic Beam Equation: Caputo‐Like Formulation

Year: 2025

Type: article

Abstract: ABSTRACT In this article, a fully hybrid elastic beam equation (EBE) is characterized by a fractional difference equation of the fourth‐order involving the Caputo‐like fractional difference operator. In this direction, the existence of the unique solution for the system is discussed in the context of fixed‐point theorems. Next, several kinds of stability properties are investigated. Finally, numerical examples, graphic representations, and numerical tables are given to illustrate the performance of both Caputo‐like difference operators by varying various parameters in the proposed mathematical model.

Source: Mathematical Methods in the Applied Sciences

DOI: 10.1002/mma.11146

Authors: Faycal Alili, Abdelkader Amara, Khaled Zennir

Institutions: University of Ouargla, Qassim University

Language: English

Topic: Nonlinear Differential Equations Analysis

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: bronze

OpenAlex ID: W4411430159

FWCI: 1.87

Cites: 21

Cited by: 1

Related to: 10