[PDF] Top 20 A Numerical Method for Solving Fuzzy Differential Equations With Fractional Order

... of fuzzy ordinary differential zzy fractional differential equation (FFDE) is equation to arbitrary non-integer ...Liouville fuzzy fractional differential equations ... See full document

... u differential equations have excited in recent zzy fractional calculus and fuzzy fractional years as a considerable interest both in math- ematics and ...of fuzzy ... See full document

... integro-differential equations of fractional order is ...A numerical method to approximate the solution of problem is also presented which is based on an improvement of the ... See full document

... the numerical method relatively new for solving fuzzy fractional differential equations using Adomian decomposition method (ADM) where the fractional ... See full document

... fast numerical algorithms []. So the wavelet method is a new numerical method for solving the fractional equations and it needs a small amount of ...the method ... See full document

... by fractional differential and integral equations, and finding the solu- tions of these equations has been the subject of many investigators in recent ...developing numerical schemes for their ... See full document

... for fractional differential equations, it is difficult to find the corresponding reproducing kernel space by applying traditional ...the numerical solutions of ...efficient numerical algorithm to ... See full document

... of fuzzy concepts and its applications, in: ...in Fuzzy Set Theory and Applications (North-Holland, Amsterdam (1979) ...the fuzzy initial value ... See full document

... in the sense of gH-differentiable, where at the end points of I we consider only the one-sided deriva- tives, and the fuzzy function f : I × R F → R F is sufficiently smooth function. The initial data y 0 , y 0 ′ ... See full document

... in order to establish a weighted Adams- Bashforth ...some numerical examples are given to show the efficiency of the proposed methods for solving Riccati differential equations ... See full document

... new numerical method for solving a linear system of fractional integro-differential equations is ...The fractional derivative is considered in the Caputo ...suggested ... See full document

... Piston-Ring Assembly (a) Equivalent Stresses (von-misses) (b) Result Maximum shear stress (c) frictional Stress Acting on Bronze Piston Ring (d) Sliding distance occur during the operat[r] ... See full document

... many numerical methods that have been adopted to resolve this type of problems such as Adomian decomposition method (ADM), variational iteration method (VIM), homotopy analysis method(HAM), ... See full document

... second order ODE can be solved directly and ...block method based on backward differentiation formula for solving stiff ODEs which possess some advantages such as providing two solutions at each ... See full document

... M.K.Hasan, Numerical methods for fuzzy initial value problems under different types of interpretation: a comparison study, in Informatics Engineering and Information Science, ... See full document

... the fractional biorthog- onal basis for the flatlet ...of fractional derivative which is applicable for numerical solution of the given boundary value ...proposed method is used to solve some ... See full document

... To show the fundamental importance of weighting coefficients of fractional-order deriva- tives in the last section, we apply it for solving fractional-order Riccati differential equa- ... See full document

... the fractional calculus gets involved in more and more areas, especially in control theory – viscoelastic, theory-electronic, chemicals -fractal theory and so ...for fractional differential ... See full document

... of fractional differential equations for mathematical modeling of real world physical problems has been widely developed in recent years, ...non-integer order can be defined in different ways, ... See full document

... first order shear deformation plate theory (FSDT) and nonlinear Von-Karman strains, the governing equations are obtained based on ...The differential quadrature method (DQM) as a ... See full document