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A new Jacobi Tau method for fuzzy fractional Fredholm nonlinear integro-differential equations

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Abstract

In this paper, we propose a numerical method based on new fractional-order Jacobi polynomials for solving nonlinear fuzzy fractional integro-differential equations. Some operational matrices are used to reduce the problem to the system of algebraic equations. The convergence analysis of the method is provided. The accuracy of the method is illustrated by solving some numerical experiments.

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Authors and Affiliations

  1. Department of Mathematics, Tabriz Branch, Islamic Azad University, Tabriz, Iran

    Azizeh Bidari, Farhad Dastmalchi Saei & Mahdi Baghmisheh

  2. Department of Engineering and Natural Sciences, Bahcesehir University, Istanbul, Turkey

    Tofigh Allahviranloo

Authors
  1. Azizeh Bidari
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  2. Farhad Dastmalchi Saei
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  3. Mahdi Baghmisheh
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  4. Tofigh Allahviranloo
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Correspondence to Farhad Dastmalchi Saei.

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Bidari, A., Dastmalchi Saei, F., Baghmisheh, M. et al. A new Jacobi Tau method for fuzzy fractional Fredholm nonlinear integro-differential equations. Soft Comput 25, 5855–5865 (2021). https://doi.org/10.1007/s00500-021-05578-8

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