Yayınlanmış 1 Ocak 2025 | Sürüm v1
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Convergence analysis of a Kantorovich approximation technique for solving fractional Volterra integral equations

  • 1. Igdir Univ, Dept Comp Engn, TR-76000 Igdir, Turkiye
  • 2. Manisa Celal Bayar Univ, Fac Art & Sci, Dept Math, TR-45140 Manisa, Turkiye
  • 3. Ecole Normale Super Constantine, Lab Appl Math & Didact, Constantine, Algeria
  • 4. Igdir Univ, Dept Software Engn, TR-76000 Igdir, Turkiye

Açıklama

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.

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