Stability of a generalized Euler–Lagrange radical multifarious functional equation

In this paper, we introduce a new generalized version of the Euler–Lagrange functional equation, namely, generalized Euler–Lagrange radical multifarious functional equation and investigate its Hyers–Ulam stability in fuzzy modular spaces (in short, FM -space) by using the fixed point approach.

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Bibliographic Details
Published in:The Journal of Analysis 2024-12, Vol.32 (6), p.3185-3195
Main Authors: Ramdoss, Murali, Pachaiyappan, Divyakumari, Rassias, John M., Park, Choonkil
Format: Article
Language:English
Subjects:
Abstract Harmonic Analysis
Analysis
Fourier Analysis
Functional Analysis
Mathematics
Mathematics and Statistics
Measure and Integration
Original Research Paper
Special Functions
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Description
Summary:In this paper, we introduce a new generalized version of the Euler–Lagrange functional equation, namely, generalized Euler–Lagrange radical multifarious functional equation and investigate its Hyers–Ulam stability in fuzzy modular spaces (in short, FM -space) by using the fixed point approach.
ISSN:0971-3611
2367-2501
DOI:10.1007/s41478-024-00795-4