What question did this study set out to answer?

This research aims to analyze the existence, uniqueness, and stability of nonlinear multi-term tripled systems of fractional differential equations.

April 3, 2026Open Access

Existence, uniqueness, and stability analysis for a nonlinear multi-term tripled system of fractional differential equations with closed boundary conditions

WZWei ZhangAnhui University of Science and Technology XFXinyu FuGannan Medical University

Key Points

This research aims to analyze the existence, uniqueness, and stability of nonlinear multi-term tripled systems of fractional differential equations.
Investigated fractional differential equations with closed boundary conditions.
Established existence and uniqueness results using Krasnoselskii’s and Banach’s fixed point theorems.
Analyzed Ulam-Hyers and Ulam-Hyers-Rassias stability via Banach’s fixed point theorem.
Provided illustrative examples to demonstrate results.
Existence and uniqueness of solutions for the proposed boundary value problem were confirmed.
Stability of the nonlinear systems under closed boundary conditions was established.

Abstract

This paper investigates a class of nonlinear multi-term tripled systems of fractional differential equations with closed boundary conditions. Existence and uniqueness results for the proposed boundary value problem are established using Krasnoselskii?s and Banach?s fixed point theorems. Additionally, the Ulam-Hyers stability and Ulam-Hyers-Rassias stability of the proposed model are analyzed via Banach?s fixed point theorem. Finally, two illustrative examples are provided to demonstrate the main results.

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