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.

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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
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article

Numerical solution of fractional Volterra integral equations using Szász-Mirakyan approximation operators

Marco Mpimbo, Santosh Kumar, Mohammad Mursaleen, Petro Bwire
2 citations
Journal of Inequalities and Applications
Fractional Differential Equations Solutions
2.74
article

Numerical solution of fractional Volterra integral equations using Szász-Mirakyan approximation operators

Marco Mpimbo, Santosh Kumar, Mohammad Mursaleen, Petro Bwire
article en
2 citations

Abstract

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.

Journal of Inequalities and ApplicationsVol. 2025(1)
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)
Openalex Percentile: Top 9%
Fractional Differential Equations Solutions
2.74
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