Abstract
In this paper, we solve the following quartic functional equation f(x+y2−z)+f(y+z2−x)+f(z+x2−y)=916(f(x−y)+f(y−z)+f(z−x)) originating from the sum of the medians of a triangle, and prove the Ulam-Hyers stability of the quartic functional equation in fuzzy normed space by the direct and fixed point methods. An application of this functional equation is also provided.
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