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Generalized Euler-Lagrange (m,n)-cubic functional equation and its stability | ||
| International Journal of Nonlinear Analysis and Applications | ||
| مقاله 17، دوره 14، شماره 1، فروردین 2023، صفحه 193-204 اصل مقاله (451.64 K) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22075/ijnaa.2022.28235.3840 | ||
| نویسندگان | ||
| Matina J. Rassias1؛ P. Narasimman2؛ Choonkil Park3؛ Jung Rye Lee* 4 | ||
| 1University College London, Department of Statistical Science, 1-19 Torrington Place, London, UK | ||
| 2Department of Mathematics, Thiruvalluvar University College of Arts and Science, Kariyampatti, Tirupattur-635 901, Tamilnadu, India | ||
| 3Research Institute for Natural Sciences, Hanyang University, Seoul 04763, Korea | ||
| 4Department of Data Science, Daejin University, Kyunggi 11159, Korea | ||
| تاریخ دریافت: 27 تیر 1401، تاریخ بازنگری: 07 شهریور 1401، تاریخ پذیرش: 11 شهریور 1401 | ||
| چکیده | ||
| 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. | ||
| کلیدواژهها | ||
| Euler-Lagrange cubic functional equation؛ Hyers-Ulam stability؛ generalized Hyers-Ulam- stability؛ Fuzzy normed linear space | ||
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