[PDF] Top 20 Numerical solution of fuzzy differential equations under generalized differentiability by fuzzy neural network

... differential equations (DEs), which have to nu- merically solved such as heat transfer, solid and fluid ...mechanics. Numerical methods of predictor- corrector, Runge-Kutta, finite difference, finite ... See full document

... of Fuzzy Differential Equations years. The concept of fuzzy derivative was first introduced by Chang and Zadeh [11], it was fol- lowed up by Dubois and Prade [13] who used the extension ... See full document

... the solution of fuzzy differential equations using HPM [8, 9, 18, ...solve fuzzy Fredholm integral equations and fuzzy Volterra integral ...equations. ... See full document

... Numerical solution of an FDE is obtained now in a natural way, by extend- ing the existing classical methods to the fuzzy ...Some numerical methods for FDEs under the Hukuhara ... See full document

... order fuzzy differential ...fully fuzzy neural network to find the numerical solution of the two- point fuzzy boundary value problems for the ordinary ... See full document

... the differential equations are uncertain, they can be modeled with ...the fuzzy derivative was first introduced in ...order fuzzy initial value problem, as well as fuzzy partial ... See full document

... order differential equation using Hopfield neural network ...non-linear differential equations using Splines and feed forward neural ...Artificial neural networks based on ... See full document

... order fuzzy differential equations (FDE) with fuzzy initial value under strongly generalized H- differentiability is ...order fuzzy differential equation ... See full document

... hybrid differential equations have a wide range of applications in science and ...Hybrid fuzzy differential equations (HFDEs) is considered by Kim et ...exact solution proposed ... See full document

... this generalized STWS technique to solve higher order linear fuzzy ...on fuzzy numbers and fuzzy derivatives. In Section 3, we define fuzzy Cauchy ...the generalized Single Term ... See full document

... exact solution ((i)-gH and (ii)-gH) and two numerical methods namely Modified Runge Kutta method and Runge Kutta Mersion method on fuzzy differential ...In fuzzy case sometimes for ... See full document

... the generalized STWS Technique to solve time-invariant and time- varying system of IVPs of any order “n ‟ with “p ‟ ...for fuzzy differential ... See full document

... set solution of set integro-differential equa- ...of fuzzy Volterra integro- differential equations of the second kind with fuzzy kernel under strongly generalized ... See full document

... of solution for fractional dif- ferential equations with ...Riemann-Liouville differentiability concept based on the Hukuhara ...nonlinear fuzzy fractional integral and integrodifferential ... See full document

... of solution and translate problem ...differential equations system. Finally we find such a domain in which the solution and its derivatives have valid level sets and using Stacking Theorem 5 we can ... See full document

... order fuzzy dif- ferential equations F DE with fuzzy initial value under strongly generalized H-differentiability was ...1-cut solution of original F DE. First, ... See full document

... a numerical method for solving second order fuzzy differential equations under general- ized differentiability is ...a solution by piecewise polynomial of degree 4 in the ... See full document

... of solution for fuzzy IVPs with respect to (1)- differentiability via ...(2)- differentiability case is similar to this one. For the fuzzy case the Homotopy method is based on continuos ... See full document

... with fuzzy differential equations are based on generalized differentiability, because there are some defects in the original fuzzy differen- tial equations defined by H-differentiability, ... See full document

... of fuzzy numbers and fuzzy arith- Zadeh [36], Dubois et ...on fuzzy numbers and fuzzy arithmetic. Fuzzy systems are used to study a variety of problems ranging from fuzzy ... See full document