Convergence analysis of a Kantorovich approximation technique for solving fractional Volterra integral equations
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.
Authors
- Cheima Khennaoui (ORCID: https://orcid.org/0000-0001-5479-4836)
- Faruk Özger (ORCID: https://orcid.org/0000-0002-4135-2091)
- Zeynep Ödemiş Özger (ORCID: https://orcid.org/0000-0002-3941-1726)
- Sinan Deni̇z (ORCID: https://orcid.org/0000-0002-8884-3680)
- Azzeddine Bellour (ORCID: https://orcid.org/0000-0002-3644-0804)
Institutions
- University of Turku (FI)
- Manisa Celal Bayar University (TR)
- École Normale Supérieure de Constantine (DZ)
Publication Details
- Journal
- Revista de la Real Academia de Ciencias Exactas Físicas y Naturales Serie A Matemáticas
- Published
- 2025-06-24
- DOI
- https://doi.org/10.1007/s13398-025-01743-y
- Citations
- 2
- Primary Topic
- Fractional Differential Equations Solutions
- Type
- article
- Field-Weighted Citation Impact
- 2.74