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Analytical fuzzy triangular solutions of the wave equation

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Abstract

The analytical fuzzy triangular solutions for both one-dimensional homogeneous and non-homogeneous wave equations with emphasis on the type of [gH-p]-differentiability of solutions are obtained by using the fuzzy D’Alembert’s formulas. In the current article, the existence and uniqueness of the solutions of the homogeneous and non-homogeneous fuzzy wave equation by considering the type of [gH-p]-differentiability of solutions are provided. In a special case, the fuzzy mathematical model of a vibrating string with a fixed end is investigated. Eventually, given to the various examples represented, the efficacy and accuracy of the method are examined.

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Acknowledgements

The authors would like to express deep gratitude to the editors and referees for their valuable suggestions which led us to a better presentation of this paper.

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Authors and Affiliations

  1. Department of Mathematics, Faculty of Science, Islamic Azad University, Central Tehran Branch, Tehran, Iran

    Sima Rahimi Chermahini & Mohammad Sadegh Asgari

Authors
  1. Sima Rahimi Chermahini
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  2. Mohammad Sadegh Asgari
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Correspondence to Mohammad Sadegh Asgari.

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Rahimi Chermahini, S., Asgari, M.S. Analytical fuzzy triangular solutions of the wave equation. Soft Comput 25, 363–378 (2021). https://doi.org/10.1007/s00500-020-05146-6

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