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<p>This paper employs Kantorovich operators to address the numerical approximation of both second and first kinds fractional Volterra integral equations. To demonstrate the viability and effectiveness of the proposed approach, an analysis of convergence is provided and supplemented with illustrative numerical experiments. These experiments are conducted and compared to showcase the validity and practicality of the method.</p>

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Convergence analysis of a Kantorovich approximation technique for solving fractional Volterra integral equations

  • 期刊论文

  • 出版模式：

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  • 发表日期：

    2025年6月24日

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  • Faruk Özger,
  • Sinan Deniz,
  • Cheima Khennaoui,
  • Zeynep Ödemiş Özger,
  • Azzeddine Bellour

摘要

This paper employs Kantorovich operators to address the numerical approximation of both second and first kinds fractional Volterra integral equations. To demonstrate the viability and effectiveness of the proposed approach, an analysis of convergence is provided and supplemented with illustrative numerical experiments. These experiments are conducted and compared to showcase the validity and practicality of the method.