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Predictor–corrector for non-linear differential and integral equation with fractal–fractional operators

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Abstract

Fractal–fractional differential and integral operators have been recognized recently as superior operators as they are able to depict physical problem with both memory effect and self-similar properties. Therefore, differential and integral equations constructed from these new operators are of great importance. In this paper, we extend the method of predictor–corrector to obtain numerical solution of non-linear differential and integral equations. Some examples are presented to illustrate the efficiency of the new method for solving these new equations.

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Authors and Affiliations

  1. Department of Mathematics, FSTE Moulay Ismail University, Meknes, Morocco

    Toufik Mekkaoui

  2. Institute for Groundwater Studies, Faculty of Natural and Agricultural Sciences, University of the Free State, Bloemfontein, South Africa

    Abdon Atangana

  3. Department of Medical Research, China Medical University Hospital, China Medical University, Taichung, Taiwan

    Abdon Atangana

  4. Department of Mathematics Education, Siirt University, Siirt, Turkey

    Seda İğret Araz

Authors
  1. Toufik Mekkaoui
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  2. Abdon Atangana
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  3. Seda İğret Araz
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Correspondence to Seda İğret Araz.

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Mekkaoui, T., Atangana, A. & Araz, S.İ. Predictor–corrector for non-linear differential and integral equation with fractal–fractional operators. Engineering with Computers 37, 2359–2368 (2021). https://doi.org/10.1007/s00366-020-00948-6

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  • DOI: https://doi.org/10.1007/s00366-020-00948-6

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