Work

Existence and Stability of Solutions for Hadamard Type Fractional Differential System on Benzene Graphs

Year: 2025

Type: article

Abstract: This paper is mainly concerned with the existence of solutions for a class of Hadamard type fractional differential systems on benzene graphs, and the Hyers-Ulam stability of the systems is also proved. Furthermore, an example is presented on a formic acid graph to demonstrate the applicability of the conclusions obtained. The interesting of this paper lies in the integration of fractional differential equations with graph theory, utilizing the formic acid graph as a specific case for numerical simulation, and providing an approximate solution graph after iterations.

Source: Journal of Applied Analysis & Computation

DOI: 10.11948/20240544

Authors: Yunzhe Zhang, Youhui Su, Yongzhen Yun

Institutions: Xuzhou University of Technology, Shenyang University of Technology

Language: English

Topic: Nonlinear Differential Equations Analysis

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: diamond

Funders: Natural Science Foundation of Xinjiang, Xuzhou Science and Technology Program

Award: G8059367610