Scholarlink

<p>In this article, we investigate the theoretical dynamics of a novel fractional-order tumor–dystrophin interaction model (FTDM) that incorporates the effect of age of onset and disease staging. Various theoretical aspects, including the stability analysis of the FTDM, the existence and uniqueness of the solution, and the convergence and error analysis of the method, have also been rigorously discussed. A numerical simulation of the FTDM has been carried out using the Hermite wavelet collocation method (HrWCM), in which the corresponding fractional integral operational matrix (FIOM) is derived and employed. Furthermore, we have also interpreted the numerical outputs biologically for each state variable of the FTDM. Moreover, to analyze the sensitivity of the model parameters graphically, we have solved the FTDM for different values of the model parameters and fractional order using the HrWCM at different values of the wavelet arguments. The residual error, along with its corresponding norms, was calculated at different wavelet argument values and fractional orders to assess the accuracy of the solution and the performance of the HrWCM.</p>

错误：搜索内容不能为空，请输入英文关键词
错误：关键词超出字数限制，请精简
高级检索

Existence, Stability, and Numerical Analysis of a Fractional Tumor–Dystrophin Interaction Model Using the Hermite Wavelet Method

  • 期刊论文

  • 发表日期：

    2026年4月24日

查看全文
  • Amit Kumar,
  • Abdullah Abdullah

摘要

In this article, we investigate the theoretical dynamics of a novel fractional-order tumor–dystrophin interaction model (FTDM) that incorporates the effect of age of onset and disease staging. Various theoretical aspects, including the stability analysis of the FTDM, the existence and uniqueness of the solution, and the convergence and error analysis of the method, have also been rigorously discussed. A numerical simulation of the FTDM has been carried out using the Hermite wavelet collocation method (HrWCM), in which the corresponding fractional integral operational matrix (FIOM) is derived and employed. Furthermore, we have also interpreted the numerical outputs biologically for each state variable of the FTDM. Moreover, to analyze the sensitivity of the model parameters graphically, we have solved the FTDM for different values of the model parameters and fractional order using the HrWCM at different values of the wavelet arguments. The residual error, along with its corresponding norms, was calculated at different wavelet argument values and fractional orders to assess the accuracy of the solution and the performance of the HrWCM.