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

... 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

... numerical method for solving fuzzy differential equation of fractional order under gH-fractional Caputo ...this method is to approximate the solution of ... See full document

... the method of successive approximations and used to approximate the solution of the nonlinear Hammerstein fuzzy integral equation, and then they proposed the notion of numerical stability of the algorithm ... See full document

... for fuzzy differential algebraic equations of fractional order (FFDAEs) based on the fractional differential transform Method (FDTM) which is proposed to solve ... See full document

... ordinary differential equation is formed in an attempt to eliminate certain arbitrary constant from a relation in the variables and ...for solving linear aswell as nonlineardifferential ...Picard ... See full document

... The organization of this paper is as follows. In the next section, we give the definitions of fractional derivatives in fractional calculus. In the section 3, we give the fractional power ... See full document

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

... a Fuzzy Initial Value Problem Consider the first order Fuzzy Initial Value Problem ...a fuzzy function of ; ( , ( )) is a fuzzy function of a variable and a fuzzy variable ; ′ is ... See full document

... the power series expansions of A i , B i , C i , i  1 , 2 are valid on an interval ( t 0  R , t 0  R ) , R  0 , then power series expansions of these solutions are also valid on the same ... See full document

... differential equations, of fractional order and with un- certainty, to consider a new type of dynamical system: fuzzy differential equations of frac- tional order ...iteration ... See full document

... new method that determines an efficient numerical procedure for solving second-order fuzzy Volterra integro-differential equations in a Hilbert ...This method illustrates the ... 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

... fourth order runge-kutta method for embedded heronian mean has been applied for finding the numerical solution of first order fuzzy differential equation using trapezoidal fuzzy ... See full document

... ordinary differential equation is formed in an attempt to eliminate certain arbitrary constant from a relation in the variables and ...for solving linear aswell as nonlineardifferential ...Picard ... See full document

... sically, differential transformation method evalu- ates the approximating solution by the finite Tay- lor ...The differential transformation method does not evaluate the derivative ... See full document

... val differential equation or ordinary differential ...two differential equations and solutions of each fuzzy differential equations in 0- cut and 1-cut cases are ... See full document

... where j refers to the jth order of the integro-differential equation and j = 1, 2, 3, . . . , n. k(t, x) are integral kernel and a function of t andx, which arise in mathematical biology, physics and more. The ... See full document

... numerical method for solving second order fuzzy differential equations under general- ized differentiability is ...This method is based on the interpolating a solution by ... See full document

... the fuzzy Laplace transforms of a fuzzy func- tion and its second derivative is established and ...solve fuzzy linear second-order differential equations (FDEs) using the fuzzy ... See full document

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