[PDF] Top 20 Solving some System of Linear Fuzzy Fractional Differential Equations by Adomian Decomposition Method

... [11,20,22]. Fractional calculus generalizes the differentiation and integration to an arbitrary ...order. Fractional differential equations are of great importance in real life problems, since ... See full document

... paper, Adomian decomposition method is discussed and applied to solve the nonlinear partial differential equations and nonlinear system partial equation, a nonlinear partial ... See full document

... DOI: 10.4236/jamp.2019.76093 1406 Journal of Applied Mathematics and Physics [10] Bakodah, H.O. (2012) A Comparison Study between a Chebyshev Collocation Me- thod and the Adomian Decomposition Method ... See full document

... as system of linear ...for solving system of linear equations ...used Adomian decomposition method to derive an iterative method, which is similar to ... See full document

... as Adomian decomposition method (ADM), variational iteration method (VIM), homotopy analysis method(HAM), homotopy perturbation method (HPM) and differential transform ... See full document

... perturbation method [3], the Adomian decomposition method [4], but each method limits to a special class of integro-differential ...iteration method for solving ... See full document

... nonlinear differential equations. So, we find some researchers are working on the combined of these transformations with many methods, among them we find the Adomian decomposition ... See full document

... and fractional partial differential equations of physical ...the decomposition method stood up as efficient, easy and accurate in solving a great group of linear and ... See full document

... generate Adomian polynomials for nonlinear terms as presented by ...ordinary differential equations using Adomian decomposition method for single linear and nonlinear ... See full document

... Ifferential equations of fractional order have been the focus of many studies due to their frequent appearance in various applications in fluid mechanics, viscoelasticity, biology, physics and ...of ... See full document

... modified Adomian decomposition method (MADM) provides a scheme that can be used for solving initial value problems or integral ...This method solves any problem by finding successive ... See full document

... on some illustrative examples of some non-linear ordinary differential equations to check the difference between the methods ... See full document

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

... of fuzzy numbers and fuzzy arithmetic were introduced by Zadeh. Fuzzy systems are used to solve fuzzy metric spaces, fuzzy differential equations, fuzzy ... See full document

... collocation method is proposed for solving linear and nonlinear multi-order fractional differential equations based on the new definition of fractional derivative which is ... See full document

... 1980’s, Adomian [4-7] proposed a new and fruitful method (so-called the Adomian decom- position method) for solving linear and nonlinear (alge- braic, differential, ... See full document

... fourth-order linear and nonlinear fractional integro-differential equations , we have applied the methods to two different examples with known exact solution for the special case α = 4 ... See full document

... The Adomian decomposition method has been used in 9-14 to solve effectively, easily and accurately a large class of linear and non-linear ordinary, partial, deterministic or stochastic ... See full document

... Physics Fractional calculus is found to be more suitable modeling the process with long range interaction and physical problems described by fractional equations, but sometimes it’s difficult to get ... See full document

... the Adomian Decomposition Method (ADM) to solve linear and nonlinear fractional partial differential ...The fractional derivatives are described in the Caputo ...partial ... See full document