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A fuzzy generalized power series method under generalized Hukuhara differentiability for solving fuzzy Legendre differential equation

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Abstract

In this paper, first the fuzzy generalized power series method, in which the coefficients are fuzzy numbers, is introduced, and then, the conditions of the uniqueness of the solution and its convergence for the fuzzy differential equation are investigated. Then, using the fuzzy generalized power series method, the fuzzy Legendre differential equation is considered as a case study, and finally, for further illustration some related examples are solved.

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Authors and Affiliations

  1. Department of Mathematics, Science and Research Branch, Islamic Azad University, Tehran, Iran

    Khadijeh Sabzi & Tofigh Allahviranloo

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

    Tofigh Allahviranloo

  3. Department of Mathematics, Imam Khomeini International University, Qazvin, 34149-16818, Iran

    Saeid Abbasbandy

Authors
  1. Khadijeh Sabzi
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  2. Tofigh Allahviranloo
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  3. Saeid Abbasbandy
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Correspondence to Tofigh Allahviranloo.

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Communicated by A. Di Nola.

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Sabzi, K., Allahviranloo, T. & Abbasbandy, S. A fuzzy generalized power series method under generalized Hukuhara differentiability for solving fuzzy Legendre differential equation. Soft Comput 24, 8763–8779 (2020). https://doi.org/10.1007/s00500-020-04913-9

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  • DOI: https://doi.org/10.1007/s00500-020-04913-9

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