Fuzzy stability of a rational functional equation and its relevance to system design

ABSTRACT

This study demonstrates the solution and various stabilities of a rational functional equation involving two variables by means of fixed point tactic in the vicinity of Felbin's type fuzzy normed spaces. Only few functional equations are dealt to design systems or to model problems in real time examples. The functional equation considered in this paper focuses on designing various systems involving ridigity modulus and pressure.

KEYWORDS:

• Reciprocal functional equation
• system of bi-reciprocal functional equations
• Ulam–Hyers stability

Disclosure statement

The authors declare that there is no conflict of interest.

Additional information

Notes on contributors

Beri Venkatachalapathy Senthil Kumar

Dr B. V. Senthil Kumar is serving in the Section of Mathematics, Department of Information Technology, Nizwa College of Technology, Nizwa – 611, Sultanate of Oman. His area of interest is Ulam stability of functional equations, differential equations and difference equations. He obtained his Ph.D. Degree in 2015 and has 18 years of teaching and research experience. He has published more than 40 research papers in National and International reputed journals. He has also authored the books titled “Functional Equations and Inequalities: Solution and Stability Results” (Published by World Scientific Publishing Company), and “Probability & Queueing Theory” (published by KKS Publishers, Chennai, India) to his credit.

Hemen Dutta

Dr Hemen Dutta is a faculty member at the Department of Mathematics, Gauhati University, India. He did his Master of Science in Mathematics, Post Graduate Diploma in Computer Application and PhD in Mathematics from Gauhati University, India. He received his MPhil in Mathematics from Madurai Kamaraj University, India. His primary research interest includes areas of mathematical analysis and their applications. He has to his credit over 50 research papers and four books so far. He has delivered talks at different institutions and organized a number of academic events. He is a member of several mathematical societies.