[PDF] Top 20 A Mellin transform method for solving fuzzy differential equations

... for fuzzy-valued functions was proposed by Puri and Ralesu in [], which is based on the Hukuhara difference of ...of fuzzy-valuedness as a generalization of the Hurahara derivative for set-valued mappings ... See full document

... governing differential equations do not have analytical solutions in genuine events in nature and ...afore-mentioned equations, the analytical solutions are not ...perturbation method (HPM) ... See full document

... (NLTD) equations of the second kind have been exploited in several areas, including non homogeneous elasticity and electrostatics (Sankar ...integral equations (Karoui ...integral equations. A ... See full document

... Lu+Ru+Nu=g (3.1) where L is the 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

... Volterra fuzzy integro-differential equations; this technique gives a better accuracy of the ...on fuzzy numbers and fuzzy differential ...Volterra fuzzy integro-differential ...Volterra ... See full document

... integro-differential equations play an im- portant role in characterizing many social, biological, physical and engineering problems; for more details see [1-3] and references cited ... 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

... 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

... 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

... 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

... In recent years, there has been incessantly reformed attention in integro -differential equations .Many mathematical models of physical phenomena create integro-differential equations e.g ... See full document

... interval differential equations (IDEs) are the particular cases of the set-valued analysis and set differential equations, ...interval differential equations are similar to those ... See full document

... networks, and biological population management, and hence they have attracted considerable attention. There are many papers devoted to the problem of approximate solution of DDEs [9]-[15]. Recently, F. Karako and H. ... 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

... analysis method (HAM) and the Aboodh transform method, proved very effective to solve non- linear partial differential ...Aboodh transform method (HAATM) is an appropriate ... See full document

... equation,fuzzy laplae transform, fuzzy initial value problem.. ||||||||||||||||||||||||||||||||{.[r] ... See full document

... Using fuzzy Laplace transform method, the solution of fuzzy convolution Volterra integral equation (FCVIE) of the second kind with convolution fuzzy and crisp kernel is investi- ...So, ... See full document

... of fuzzy valued function f is expressed by [f] r (t) = [f − (t, r), f + (t, r)], where t ∈ [a, b], r ∈ [0, ...a fuzzy-valued function f : (a, b) → R F at t 0 is defined ... See full document

... discussed. Differential Transformation Method (DTM) is discussed in detail, which is used to compute the series solution of the non-linear system of differential equation governing the model ...in ... See full document

... Mahgoub Transform Method has been introduced for solving linear Fractional Differential Equations (FDEs) with constant ...Mahgoub Transform necessary in solving FDE are ... See full document