Numerical solution of fractional Volterra integral equations using Szász-Mirakyan approximation operators
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.
Authors
- Marco Mpimbo
- Santosh Kumar (ORCID: https://orcid.org/0000-0003-2121-6428)
- Mohammad Mursaleen (ORCID: https://orcid.org/0000-0003-4128-0427)
- Petro Bwire
Institutions
- Aligarh Muslim University (IN)
- University of Dar es Salaam (TZ)
- China Medical University (TW)
- North Eastern Hill University (IN)
- China Medical University Hospital (TW)
- Saveetha University (IN)
Publication Details
- Journal
- Journal of Inequalities and Applications
- Published
- 2025-09-26
- DOI
- https://doi.org/10.1186/s13660-025-03362-y
- Citations
- 2
- Primary Topic
- Fractional Differential Equations Solutions
- Type
- article
- Field-Weighted Citation Impact
- 2.74