Mathematics
(Nov 2021)
The Stability Analysis of A-Quartic Functional Equation
Chinnaappu Muthamilarasi,
Shyam Sundar Santra,
Ganapathy Balasubramanian,
Vediyappan Govindan,
Rami Ahmad El-Nabulsi,
Khaled Mohamed Khedher
Affiliations
Chinnaappu Muthamilarasi
Department of Mathematics, Government Arts College for Men, Krishnagiri, Tamilnadu 635001, India
Shyam Sundar Santra
Department of Mathematics, JIS College of Engineering, Kalyani, West Bengal 741235, India
Ganapathy Balasubramanian
Department of Mathematics, Government Arts College for Men, Krishnagiri, Tamilnadu 635001, India
Vediyappan Govindan
Department of Mathematics, Government Arts College for Men, Krishnagiri, Tamilnadu 635001, India
Rami Ahmad El-Nabulsi
Research Center for Quantum Technology, Faculty of Science, Chiang Mai University, Chiang Mai 50200, Thailand
Khaled Mohamed Khedher
Department of Civil Engineering, College of Engineering, King Khalid University, Abha 61421, Saudi Arabia
DOI
https://doi.org/10.3390/math9222881
Journal volume & issue
Vol. 9,
no. 22
Abstract
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In this paper, we study the general solution of the functional equation, which is derived from additive–quartic mappings. In addition, we establish the generalized Hyers–Ulam stability of the additive–quartic functional equation in Banach spaces by using direct and fixed point methods.
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