[PDF] Top 20 Analytical and numerical solution of differential equations with generalized fuzzy derivative

... presented numerical method based on fuzzy neural network for solving first order fuzzy initial value problem under generalized ...the fuzzy neural network to approximate the ... 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

... of fuzzy differential equations plays an important role in modeling of science and engineering problems because this theory represents a natural way to model dynamical systems under ...with ... See full document

... some numerical method for solving FDE under Hukuhara differentiability presented in [1, 2, 5], and under generalized dif- ferentiability investigated in [6, ...Higher-order fuzzy differential ... 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

... 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 differential equations containing fuzzy value functions and interaction with a discrete time controller are named as hybrid fuzzy dif- ferential equations (HFDEs) ...proposed ... 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

... of fuzzy differential equations (FDEs) has been rapidly growing in recent ...the fuzzy derivative was first introduced by Chang and Zadeh [13]; it was followed up by Dubois and Prade [19], who ... See full document

... of fuzzy differential equation (F DE) has been rapidly growing in recent ...of fuzzy dynamical prob- ...The numerical methods for solving F DE are introduced in [1, 2, 4, ...Strongly ... See full document

... of solution for fractional dif- ferential equations with ...nonlinear fuzzy fractional integral and integrodifferential ...to fuzzy fractional differential equations ...of ... See full document

... of fuzzy numbers and fractional derivative and ...about fuzzy initial value problems and FFDE re- ...two numerical examples to illustrate the proposed ... See full document

... approximate solution of “First order Simultaneous Fuzzy differential equation by sixth order Runge-Kutta method” based on Seikkala derivative of fuzzy process [10] in order to increase ... See full document

... of fuzzy derivative was first introduced by Chang and Zadeh in ...for fuzzy differential equation (FIVP) has been studied by Kaleva in [14, 15] and by Seikkala in ...the numerical ... See full document

... clude fuzzy mathematics, especially, on numerical solution of fuzzy linear systems, fuzzy differential equations and similar ... See full document

... dinary differential equations ...approximated solution of the ...ordinary differential equations using feed forward neural networks architecture and B 1 ... See full document

... of fuzzy differential equations (FDEs) forms a suitable setting for mathematical modeling of real-world problems in which uncertainties or vague- ness ...of fuzzy differential equa- ... See full document

... The fuzzy partial differential equations (FPDEs) attracted a great deal of attention among scientists and engineers, because of its frequent involvement in the modeling of numerous industrialized ... See full document

... Fuzzy differential equations naturally represent dynamical systems with ...of fuzzy derivative using the extension principle in (Abu Arqub, ...formulated Fuzzy ... See full document

... a numerical solution of partial differential-algebraic equations (PDAEs) is considered by multivariate Padé ...the numerical solution of the equation was put into a multivariate Padé ... See full document