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

Wei Zhang, Xinyu Fu

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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