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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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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DOI: https://doi.org/10.1007/s00500-020-05146-6