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En este artículo se analiza la existencia y unicidad de soluciones para el siguiente problema de valor inicial en el contexto difuso: x'(t) = f(t,x(t)), x(t0) = x0, donde f: T x X --> X es una aplicación con valores en conjuntos difusos, T es un intervalo de tiempo, X es una clase de conjuntos difusos, x0 ∈ X y t0 ∈ T. Se considera la derivada x'(t) como una generalización de la derivada de Hukuhara.
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