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<p>We investigate a variable-order discrete fractional mathematical model to assess the impact of diabetes and its associated complications. The main findings demonstrate the solvability and stability of the proposed system. Additionally, we present various numerical results to evaluate the proposed model effectively. Finally, comparison results emphasize the advantages of using fractional derivatives.</p>

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STABILITY AND SENSITIVITY ANALYSIS FOR A VARIABLE-ORDER DISCRETE MATHEMATICAL MODEL TO EVALUATE THE IMPACT OF DIABETES AND ITS RESULTING COMPLICATIONS

  • 期刊论文

  • 发表日期：

    2025年6月1日

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  • Meriem Boukhobza,
  • Amar Debbouche,
  • Lingeshwaran Shangerganesh,
  • Stanislava V. Kashtanova

摘要

We investigate a variable-order discrete fractional mathematical model to assess the impact of diabetes and its associated complications. The main findings demonstrate the solvability and stability of the proposed system. Additionally, we present various numerical results to evaluate the proposed model effectively. Finally, comparison results emphasize the advantages of using fractional derivatives.