An existence and uniqueness result for fuzzy Goursat partial differential equation

Abstract In this paper, we study a fuzzy partial differential equation, the so-called Goursat problem, under generalized differentiability concept. We give necessary and sufficient conditions for the existence of a unique solution. We also provide some sufficient conditions for the coincidence of the second order mixed derivatives of a fuzzy function, which is useful for the study of higher-order fuzzy partial differential equations.

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