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

Özger F., DENİZ S., Khennaoui C., Özger Z. Ö., Bellour A.

Revista de la Real Academia de Ciencias Exactas, Fisicas y Naturales - Serie A: Matematicas, cilt.119, sa.3, 2025 (SCI-Expanded, Scopus) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 119 Sayı: 3
  • Basım Tarihi: 2025
  • Doi Numarası: 10.1007/s13398-025-01743-y
  • Dergi Adı: Revista de la Real Academia de Ciencias Exactas, Fisicas y Naturales - Serie A: Matematicas
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Aerospace Database, Communication Abstracts, MathSciNet, zbMATH, DIALNET, Civil Engineering Abstracts
  • Anahtar Kelimeler: Chebyshev nodes, Convergence Analysis, Fractional Volterra integral equations, Kantorovich operators
  • Manisa Celal Bayar Üniversitesi Adresli: Evet

Özet

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.