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

Özger, Faruk; DENİZ, SİNAN; Khennaoui, Cheima; Özger, Zeynep; Bellour, Azzeddine

doi:10.1007/s13398-025-01743-y

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, vol.119, no.3, 2025 (SCI-Expanded, Scopus)

Publication Type: Article / Article
Volume: 119 Issue: 3
Publication Date: 2025
Doi Number: 10.1007/s13398-025-01743-y
Journal Name: Revista de la Real Academia de Ciencias Exactas, Fisicas y Naturales - Serie A: Matematicas
Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Aerospace Database, Communication Abstracts, MathSciNet, zbMATH, DIALNET, Civil Engineering Abstracts
Keywords: Chebyshev nodes, Convergence Analysis, Fractional Volterra integral equations, Kantorovich operators
Manisa Celal Bayar University Affiliated: Yes

Abstract

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.