fuzzy differential equations (FDE)
Generalized H-differentiability for solving second order linear fuzzy differential equations
... of fuzzy differential equations (FDE) Kandel and Byatt [20] applied the concept of fuzzy differential equations (FDE) to analyze the fuzzy dynamic ...The ...
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Numerical solution of hybrid fuzzy differential equations by fuzzy neural network
... 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 ...
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Numerical Solution of Non-linear Fuzzy Differential Equations using Single Term Walsh Series Technique
... of fuzzy differential equations has been growing ...Recently fuzzy differential equations have gained more attention in the ...The fuzzy derivative was introduced by Chang ...
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Runge-Kutta Nystrom method for solving fuzzy differential equations under generalized differentiability
... 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- ...
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Linear fractional fuzzy differential equations with Caputo derivative
... fractional fuzzy differential equations involving the Caputo generalized Hukuhara ...the fuzzy Laplace transform, we present the general form of solutions in terms of Mittag-Leffler ...
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Solution of fuzzy differential equations
... hybrid differential equations have a wide range of applications in science and ...Hybrid fuzzy differential equations (HFDEs) is considered by Kim et ...: Fuzzy ...
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On numerical solutions of fuzzy differential equations
... Fuzzy differential equations naturally represent dynamical systems with ...of fuzzy derivative using the extension principle in (Abu Arqub, ...formulated Fuzzy differential ...
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Fuzzy differential equations by using modified Romberg's Method
... In this study Modified Romberg's method which is originally customized by using Modified Two-step Simpson's 113 method for numerical solution of FDE with fuzzy initial value problem has [r] ...
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A Method for Solving Fuzzy Partial Differential Equation by Fuzzy Separation Variable
... Fuzzy differential equations have been applied extensively in recent years to model uncertainty in mathematical ...models. Fuzzy transport equation is one of the simplest Fuzzy partial ...
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Multiple solutions of ordinary differential systems with min max terms and applications to the fuzzy differential equations
... In this paper, we investigate the existence of multiple solutions for a class of ordinary differential systems with min-max terms. We present two fundamental results for the existence of solutions. An illustrative example ...
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A Mellin transform method for solving fuzzy differential equations
... Hammerstein fuzzy integral equation, and then they proposed the notion of numerical stability of the algorithm with respect to the choice of the first iteration in ...considered fuzzy differential ...
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Basic theorems for fuzzy differential equations in the quotient space of fuzzy numbers
... of fuzzy quantities into equivalence classes having the desired group properties under the addition operation ...of fuzzy numbers in the sense of Mareš is very ...every fuzzy number with the ...
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Existence and uniqueness theorem for a solution of fuzzy differential equations
... above fuzzy differential equation. Keywords and phrases. Fuzzy set-valued mapping, levelwise continuous, fuzzy derivative, fuzzy integral, fuzzy differential equation, fuzzy ...
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On Cauchy problems for fuzzy differential equations
... of fuzzy derivative, followed up ten years later by Dubois and Prade [5], who used the extension principle in their ...of fuzzy functions. This led Seikkala [13] to introduce the notion of fuzzy ...
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Numerical Solution of Fuzzy Differential Equation (FDE)
... of fuzzy set was first introduced by Zadeh ...of fuzzy differential equations plays an important role in modelling of science and engineering problems because this theory represents a natural ...
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A Single Convergent Control Parameter Optimal Homotopy Asymptotic Method Approximate-Analytical Solution of Fuzzy Heat Equation
... Fuzzy differential equations (FDEs) form a major portion of a fuzzy analysis theory and are a useful tool to describe a dynamic phenomenon if its nature and data is vague (Ali ...brought ...
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A method for solving first order fuzzy differential equation
... val differential equation or ordinary differential ...two differential equations and solutions of each fuzzy differential equations in 0- cut and 1-cut cases are ...
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Existence of solutions for nonlinear fuzzy impulsive integrodifferential equations
... Fuzzy differential equations are a very important topic both in theory and application, for example, in population models, in engineering, in chaotic systems and in modeling ...of fuzzy ...
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Vol 9, No 1 (2018)
... intuitionistic fuzzy differential equations becomes 𝑑 𝑑𝑡 � 𝑥 𝑙 (𝛼) 𝑥 𝑟 (𝛼) 𝑥 𝑙 (𝛽) 𝑥 𝑟 (𝛽) � = ⎝ ⎛ 0 𝑎 𝑟 (𝛼) 𝑎 𝑙 (𝛼) 0 0 0 0 0 0 0 0 0 𝑎 𝑙 (𝛽) 0 𝑎 𝑟 (𝛽) 0 ⎠ ⎞ � 𝑥 𝑙 (𝛼) 𝑥 𝑟 (𝛼) 𝑥 𝑙 (𝛽) 𝑥 𝑟 (𝛽) � (44) ...
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Approximate controllability result for nonlinear impulsive neutral fuzzy stochastic differential equations with nonlocal conditions
... as fuzzy set theory, which is a tool that makes possible the description of vague notions and manipula- tions with ...of fuzzy set theory is simple and ...of fuzzy process, fuzzy number and so ...
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