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<p>In this paper, we employ the Szász-Mirakyan estimation together with the Riemann-Liouville fractional integral operator to solve both the first and second kinds of fractional Volterra integral equations. To validate the applicability and efficiency of the suggested technique, an analysis of convergence has been conducted. Numerical examples are counted to confirm the method’s practicality and validity. All numerical computations in this study were performed by using MATLAB programs on a personal computer.</p>

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Numerical solution of fractional Volterra integral equations using Szász-Mirakyan approximation operators

  • 期刊论文

  • 出版模式：

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  • 发表日期：

    2025年9月26日

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  • Petro Bwire,
  • Santosh Kumar,
  • Mohammad Mursaleen,
  • Marco Mpimbo

摘要

In this paper, we employ the Szász-Mirakyan estimation together with the Riemann-Liouville fractional integral operator to solve both the first and second kinds of fractional Volterra integral equations. To validate the applicability and efficiency of the suggested technique, an analysis of convergence has been conducted. Numerical examples are counted to confirm the method’s practicality and validity. All numerical computations in this study were performed by using MATLAB programs on a personal computer.