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February 22, 2026Symmetry0 citationsOpen Access

Mathematical Analysis of Higher-Order m-Coupled System Differential Equations with Caputo–Fabrizio Derivatives

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NHNeama HaronATAli H. TedjaniAAArshad Ali

Key Points

  • The research aims to determine the existence and stability of solutions for a class of coupled fractional differential equations.
  • Utilized fixed-point techniques to derive existence and stability conditions.
  • Focused on higher-order m-coupled systems with non-singular kernels.
  • Provided numerical examples to support theoretical findings.
  • Established sufficient conditions for the existence of solutions.
  • Demonstrated stability of m-cyclic coupled systems.
  • Illustrated the impact of varying fractional orders on system behavior through simulations.

Abstract

This paper examines the existence and stability of an m-cyclic coupled system of higher-order fractional differential equations with non-singular kernels. Sufficient conditions for the existence and stability of solutions are obtained using fixed-point techniques. Two numerical examples involving coupled and triply coupled systems are presented to validate the theoretical results, and simulations of the triply coupled case illustrate the influence of different fractional orders on the system dynamics.

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Cite This Study

Haron et al. (2026) studied this question.

synapsesocial.com/papers/699a9d8e482488d673cd389fhttps://doi.org/10.3390/sym18020379
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