The Polynomial Least Squares Method for Nonlinear Fractional Volterra and Fredholm Integro-Differential Equations

Bogdan Căruntu and Mădălina Sofia Paşca
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Bogdan Căruntu: Department of Mathematics, Politehnica University of Timişoara, 300006 Timişoara, Romania
Mădălina Sofia Paşca: Department of Mathematics, Politehnica University of Timişoara, 300006 Timişoara, Romania

Mathematics, 2021, vol. 9, issue 18, 1-17

Abstract: We present a relatively new and very efficient method to find approximate analytical solutions for a very general class of nonlinear fractional Volterra and Fredholm integro-differential equations. The test problems included and the comparison with previous results by other methods clearly illustrate the simplicity and accuracy of the method.

Keywords: fractional volterra-fredholm integro-differential equation; approximate analytical solution; polynomial least squares method (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2021
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