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

Author

Listed:
  • Bogdan Căruntu

    (Department of Mathematics, Politehnica University of Timişoara, 300006 Timişoara, Romania
    Both authors contributed equally to this work.)

  • Mădălina Sofia Paşca

    (Department of Mathematics, Politehnica University of Timişoara, 300006 Timişoara, Romania
    Department of Mathematics, West University of Timişoara, 300223 Timişoara, Romania
    Both authors contributed equally to this work.)

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.

Suggested Citation

  • Bogdan Căruntu & Mădălina Sofia Paşca, 2021. "The Polynomial Least Squares Method for Nonlinear Fractional Volterra and Fredholm Integro-Differential Equations," Mathematics, MDPI, vol. 9(18), pages 1-17, September.
  • Handle: RePEc:gam:jmathe:v:9:y:2021:i:18:p:2324-:d:639016
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    References listed on IDEAS

    as
    1. Jian Rong Loh & Chang Phang & Abdulnasir Isah, 2017. "New Operational Matrix via Genocchi Polynomials for Solving Fredholm-Volterra Fractional Integro-Differential Equations," Advances in Mathematical Physics, Hindawi, vol. 2017, pages 1-12, January.
    2. Rohaninasab, N. & Maleknejad, K. & Ezzati, R., 2018. "Numerical solution of high-order Volterra–Fredholm integro-differential equations by using Legendre collocation method," Applied Mathematics and Computation, Elsevier, vol. 328(C), pages 171-188.
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