Work

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

Year: 2025

Type: article

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.

Source: Journal of Inequalities and Applications

DOI: 10.1186/s13660-025-03362-y

Authors: Petro Bwire, Santosh Kumar, Mohammad Mursaleen, Marco Mpimbo

Institutions: University of Dar es Salaam, North Eastern Hill University, Aligarh Muslim University, China Medical University, China Medical University Hospital, Saveetha University

Language: English

Topic: Fractional Differential Equations Solutions

Subfield: Modeling and Simulation

Field: Mathematics

Domain: Physical Sciences

Open Access status: gold

Estimated APC paid: $2,190

OpenAlex ID: W4414531736

FWCI: 3.058

Cites: 15

Cited by: 4

Related to: