Document Type : Research Paper
Authors
1 University College London, Department of Statistical Science, 1-19 Torrington Place, London, UK
2 Department of Mathematics, Thiruvalluvar University College of Arts and Science, Kariyampatti, Tirupattur-635 901, Tamilnadu, India
3 Research Institute for Natural Sciences, Hanyang University, Seoul 04763, Korea
4 Department of Data Science, Daejin University, Kyunggi 11159, Korea
Abstract
In this article, we introduce a new generalized Euler-Lagrange $(m,n)$-cubic functional equation with its general solution. Also, we investigate its various stabilities related to the Ulam problem in fuzzy normed linear spaces using Felbin's concept. Also, we provide a counter-example for the non-existence of stability of a generalized Euler-Lagrange $(m,n)$-cubic functional equation.
Keywords