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The advantage of various fuzzy normed spaces is to analyse impreciseness and ambiguity that arise in modelling problems. In this paper, various classical stabilities of a new hexic functional equation in different fuzzy spaces like fuzzy Banach space, Felbin's fuzzy Banach space and intuitionistic fuzzy Banach space are presented, concerning the Ulam's theory of stabilities of equations. To validate the stability results, experimental results are presented. Also, a comparative study of the results obtained in this investigation are provided. [ABSTRACT FROM AUTHOR]

The aim of this study is to introduce a new multiplicative inverse cubic functional equation, to accomplish its general solution, to employ Hyers' method for solving its stability problems in Felbin's type fuzzy normed linear spaces, to present an apt example for justifying its stability result is invalid for singular case and to elucidate its interpretation through an application in electromagnetism. [ABSTRACT FROM AUTHOR]

This study deals with the validation of classical stabilities of various multiplicative inverse functional equations pertinent to Ulam stability theory of functional equations in the setting of non-Archimedean fields. Suitable counter-examples are demonstrated to disprove the invalidity of stability results of these equations for singular cases. [ABSTRACT FROM AUTHOR]

In the present work, we propose a different reciprocal second power Functional Equation (FE) which involves the arguments of functions in rational form and determine its stabilities in the setting of modular spaces with and without using Fatou property. We also prove the stabilities in β-homogenous spaces. As an application, we associate this equation with the electrostatic forces of attraction between unit charges in various cases using Coloumb's law. [ABSTRACT FROM AUTHOR]