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Comparison of the Orthogonal Polynomial Solutions for Fractional Integral Equations

Author

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  • Ayşegül Daşcıoğlu

    (Faculty of Art and Science, Department of Mathematics, Pamukkale University, Denizli 20160, Turkey)

  • Serpil Salınan

    (Faculty of Art and Science, Department of Mathematics, Pamukkale University, Denizli 20160, Turkey)

Abstract

In this paper, a collocation method based on the orthogonal polynomials is presented to solve the fractional integral equations. Six numerical examples are given to illustrate the method. The results are compared with the other methods in the literature, and the results obtained by different kinds of polynomials are compared.

Suggested Citation

  • Ayşegül Daşcıoğlu & Serpil Salınan, 2019. "Comparison of the Orthogonal Polynomial Solutions for Fractional Integral Equations," Mathematics, MDPI, vol. 7(1), pages 1-10, January.
    • Handle: RePEc:gam:jmathe:v:7:y:2019:i:1:p:59-:d:195788
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    References listed on IDEAS

    as
    1. E. Fathizadeh & R. Ezzati & K. Maleknejad, 2017. "Hybrid Rational Haar Wavelet and Block Pulse Functions Method for Solving Population Growth Model and Abel Integral Equations," Mathematical Problems in Engineering, Hindawi, vol. 2017, pages 1-7, January.
    2. Abdon Atangana & Necdet Bildik, 2013. "Existence and Numerical Solution of the Volterra Fractional Integral Equations of the Second Kind," Mathematical Problems in Engineering, Hindawi, vol. 2013, pages 1-11, November.
    3. Edmundo Capelas de Oliveira & José António Tenreiro Machado, 2014. "A Review of Definitions for Fractional Derivatives and Integral," Mathematical Problems in Engineering, Hindawi, vol. 2014, pages 1-6, June.
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