Intuitionistic fuzzy stability of an Euler-Lagrange type quartic functional equation

Abstract

In this paper, we investigate the Hyers-Ulam stability of the following Euler-Lagrange type quartic functional equation f(ax + y) + f(x + ay) + 1/2a (a - 1)(2) f(x - y) = (a(2) - 1)(2)(f(x) + f(y)) + 1/2a(a + 1)(2)f(x + y) in intuitionistic fuzzy normed spaces, where a not equal 0 a not equal +/-1. Furthermore, we investigate intuitionistic fuzzy continuity through the existence of a certain solution of a fuzzy stability problem for approximately Euler-Lagrange quartic functional equation.