Email this article A New Approach to nth Order Fuzzy Differential Equations
- Authors: Tapaswini S.1,2, Chakraverty S.3, Allahviranloo T.4
-
Affiliations:
- College of Mathematics and Statistics, Chongqing University
- Department of Mathematics, School of Applied Sciences, KIIT University
- Department of Mathematics, National Institute of Technology
- Department of Electronic and Communications, Faculty of Engineering, Izmir University
- Issue: Vol 28, No 2 (2017)
- Pages: 278-300
- Section: Article
- URL: https://journal-vniispk.ru/1046-283X/article/view/247616
- DOI: https://doi.org/10.1007/s10598-017-9364-3
- ID: 247616
Cite item
Open Access
Access granted
Subscription Access
Abstract
This paper proposes a new method based on fuzzy center and radius for solving n th order fuzzy differential equations. First, the fuzzy differential equation is solved in term of fuzzy center and then this solution is used to find the radius of the fuzzy solution. Finally using the solution of fuzzy center and radius, one obtains the solution of the governing fuzzy differential equation. The proposed method is illustrated by considering three cases with numerical examples along with one application problem of vibration. Results obtained are also compared with solutions by existing methods and are found to be in good agreement.
About the authors
S. Tapaswini
College of Mathematics and Statistics, Chongqing University; Department of Mathematics, School of Applied Sciences, KIIT University
Author for correspondence.
Email: smitatapaswini@gmail.com
China, Chongqing, 401331; Bhubaneswar, Odisha, 751024
S. Chakraverty
Department of Mathematics, National Institute of Technology
Email: smitatapaswini@gmail.com
India, Rourkela, Odisha, 769008
T. Allahviranloo
Department of Electronic and Communications, Faculty of Engineering, Izmir University
Email: smitatapaswini@gmail.com
Turkey, Izmir
Supplementary files
