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INTUITIONISTIC FUZZY STABILITY OF AN EULER-LAGRANGE TYPE QUARTIC FUNCTIONAL EQUATION
- Authors
- Ebadian, Ali; Park, Choonkil
- Issue Date
- Jun-2025
- Publisher
- Wilmington Scientific Publishers
- Keywords
- Hyers-Ulam stability; Euler-Lagrange type quartic functional equation; intuitionistic fuzzy normed space; intuitionistic fuzzy continuity
- Citation
- Journal of Applied Analysis and Computation, v.15, no.3, pp 1659 - 1673
- Pages
- 15
- Indexed
- SCIE
SCOPUS
- Journal Title
- Journal of Applied Analysis and Computation
- Volume
- 15
- Number
- 3
- Start Page
- 1659
- End Page
- 1673
- ISSN
- 2156-907X
2158-5644
- 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) 1 =(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.
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