TY - JOUR
T1 - Existence and Simulation of Solutions for a Class of Fractional Differential Systems with $p$-Laplacian Operators on Star Graphs
AU - Zhang , Yuanyuan
AU - Su , Youhui
AU - Yun , Yongzhen
JO - Journal of Nonlinear Modeling and Analysis
VL - 4
SP - 1179
EP - 1205
PY - 2025
DA - 2025/07
SN - 7
DO - http://doi.org/10.12150/jnma.2025.1179
UR - https://global-sci.org/intro/article_detail/jnma/24231.html
KW - Fractional differential systems, $p$-Laplacian operator, star graphs,
existence, Hyers-Ulam stability.
AB - <p style="text-align: justify;">This paper is mainly concerned with the existence and simulation of solutions for a class of Caputo fractional differential systems with $p$-Laplacian operators on star graphs. The Hyers-Ulam stability of the systems
on star graphs is also proved. Furthermore, an example on a formaldehyde
graph is presented to demonstrate the practicality of the main results. The
innovation of this paper lies in combining a fractional differential system with
a formaldehyde graph, interpreting the chemical bonds as the edges of the
graph, and exploring the existence and numerical simulation of solutions to
the fractional differential system on this unique graph structure.</p>