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Boubaker polynomials and their applications for solving fractional two-dimensional nonlinear partial integro-differential Volterra integral equations

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Abstract

The main aim of this paper is to expand an operational matrix method for solving two-dimensional nonlinear fractional partial integro-differential Volterra integral equation. First, we present and use the operational matrix of fractional integration of the Boubaker polynomials. Then, we prove the convergence analysis of the method. Finally, to explain the accuracy and efficiency of the proposed method, we provide some numerical examples and present the results in figures and tables.

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Authors and Affiliations

  1. Department of Mathematics, North Tehran Branch, Islamic Azad University, Tehran, Iran

    A. A. Khajehnasiri

  2. Department of Mathematics, Karaj Branch, Islamic Azad University, Karaj, Iran

    R. Ezzati

Authors
  1. A. A. Khajehnasiri
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  2. R. Ezzati
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Correspondence to R. Ezzati.

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Communicated by Eduardo Souza de Cursi.

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Khajehnasiri, A.A., Ezzati, R. Boubaker polynomials and their applications for solving fractional two-dimensional nonlinear partial integro-differential Volterra integral equations. Comp. Appl. Math. 41, 82 (2022). https://doi.org/10.1007/s40314-022-01779-5

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  • DOI: https://doi.org/10.1007/s40314-022-01779-5

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