6533b85bfe1ef96bd12ba9f0
RESEARCH PRODUCT
Numerical Solution of Fuzzy Differential Equations with Z-numbers using Fuzzy Sumudu Transforms
Sina RazvarzWen YuRaheleh Jafarisubject
Physics and Astronomy (miscellaneous)lcsh:TFuzzy differential equations02 engineering and technology01 natural sciencesFuzzy logiclcsh:Technology010104 statistics & probabilityNonlinear systemManagement of Technology and InnovationZ number0202 electrical engineering electronic engineering information engineeringApplied mathematics020201 artificial intelligence & image processinglcsh:QSumudu transform0101 mathematicslcsh:ScienceEngineering (miscellaneous)Mathematicsdescription
The uncertain nonlinear systems can be modeled with fuzzy differential equations (FDEs) and the solutions of these equations are applied to analyze many engineering problems. However, it is very difficult to obtain solutions of FDEs. In this paper, the solutions of FDEs are approximated by utilizing the fuzzy Sumudu transform (FST) method. Here, the uncertainties are in the sense of Z-numbers. Important theorems are laid down to illustrate the properties of FST. The theoretical analysis and simulation results show that this new technique is effective to estimate the solutions of FDEs.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2018-01-30 | Advances in Science, Technology and Engineering Systems |