[PDF] Top 20 Solving second order fuzzy differential equations by the fuzzy Laplace transform method

... novel method for solving fuzzy linear differential equations, which its construction based on the equivalent integral forms of original prob- lems under the assumption of strongly generalized ... See full document

... converging to α ∈ (0, 1], then the family [v(α), v(α)], 0 < α ≤ 1, represent the α-level sets of a fuzzy number v in E. Conversely if [v(α), v(α)], 0 < α ≤ 1, are the α-level sets of a fuzzy number e ... See full document

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

... triangular fuzzy number is de- fined as a fuzzy set in E, that is specified by an or- dered triple u = (a, b, c) ∈ R 3 with a ≤ b ≤ c such that u(r) = [u(r), u(r)] are the endpoints of r- level sets for all ... See full document

... The Laplace transform is a very useful tool for solving linear ordinary differential equations with constant coefficients, since it converts linear differential equations ... See full document

... . Comparing it with the HPM and VIM results given in [1,2], we notice that the result obtained by the present method is very superior (lower error com- bined with less number of iterations) to that obtained by HPM ... See full document

... This paper is organized as follows. In Section 2, we recall several basic definitions and concepts of fuzzy numbers and fuzzy derivatives. In Section 3, we provide a general definition of FST. In addition, ... See full document

... differential equations, probability, statistics, and learning ...RKHS method for solving a variety of fuzzy differential equations and fuzzy frac- tional differential ... See full document

... for second order hybrid fuzzy fractional differential ...hybrid fuzzy fractional differential equations with a fuzzy initial condition by using variational ... See full document

... integro–differential equations carried out by the local frac- tional ...integral equations via the Yang–Laplace transform are ... See full document

... of Laplace decomposition method (MLDM) [17-21] ...the second order non homogeneous ordinary differential equations with initial conditions is given ... See full document

... highest order derivative which is assumed to be easily invertible, R is a linear differential operator of order less than L, N represents the nonlinear terms, and g is the source ... See full document

... solve fuzzy Fredholm or Fuzzy Volterra integro- dif- ferential equation such as Euler method, dif- ferential transform method, Laplace transform method, Adomian ... See full document

... random fuzzy initial value problem ...the method of successive ...by fuzzy random differential ...the second-order random fuzzy differential equation initial value problem of the ... See full document

... ABSTRACT: In an Engineering situation, a particular machine is selected on the basis of its reliability and life span. The life span and reliability are in turn governed by the frictional wear characteristics of ... See full document

... approximate method has to be ...decomposition, Laplace transforms, homotopy perturbation techniques and others [1, 3, 5, 6, 8, 10, 14, ...Volterra fuzzy integro-differential ...Mura method ... See full document

... zzy differential equations (FDE) are a suit- engineering in which uncertainties or vagueness ...a fuzzy derivative and in consequence, to study ...for fuzzy valued ...in order to ... See full document

... for solving sec- ond order fuzzy differential equations (FDE) with fuzzy initial value under strongly generalized H- differentiability is ...a second order ... See full document

... Fractional calculus has been applied in modeling physical and chemical processes and in engineering [4,6,9]. We are reviewing the properties of derivatives and integrals of non- integer orders. Podlubnyandkilbas [10,12,] ... See full document

... triangular fuzzy number is defined as a fuzzy set in R F , that is specified by an ordered triple u = (a, b, c) ∈ R 3 with a ≤ b ≤ c such that u(r) = a + (b − a)r and u(r) = c − (c − b)r are the endpoints ... See full document