Analytical fuzzy triangular solutions of the wave equation

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.