Variational iteration method is introduced to solve two-point boundary value problem for a second order fuzzy differential equation under generalized Hukuhara differentiability. To illustrate the ability and reliability of the method, some examples are given, revealing its effectiveness and simplicity.

It is known that a Fréchet space F can be realized as a projective limit of a sequence of Banach spaces Ei. The space Kc(F) of all compact, convex subsets of a Fréchet space, F, is realized as a projective limit of the semilinear metric spacesKc(E). Using the notion of Hukuhara derivative for maps with values inKc(F), we prove the local and global existence theorems for an initial value problem...

Various discussions have been made by many investigators on the motor effect produced by stimulation of the splanchnic nerve which has been almost universally noted to be the inhibitory nerve to the stomach and small intestine (Kuntz1953, Hukuhara1953). Many workers have speculated as to whether or not the intensity, frequency and type of stimulation (Brown, McSwiney and Wadge1930, Barry1932, H...

Most of the existing approaches for fuzzy reliability analysis are based on fuzzy probability.  The aim of this paper is to describe fuzzy reliability using fuzzy differential equation. The reliability of a system in real world applications is affected by some uncertain parameters. Fuzzy reliability is a way to present the reliability function uncertainly using fuzzy parameters. In the proposed...

in this paper the substantiation of the method of full averaging for fuzzy differential inclusions is considered. these results generalize the results of [17, 20] for differential inclusions with hukuhara derivative and of [18] for fuzzy differential equations.

In this paper, we defined the interval form of \(\alpha, \beta\) level set for triangular q-rung orthopair fuzzy (qROPF) number. To obtain a differentiability notion qROPF valued functions, Hukuhara (H-differentiability) and level-wise H-differentiability is defined. Using KKT optimality condition optimization problem with objective function are formulated.

We study hybrid fuzzy differential equations (HFDEs) under the Hukuhara derivative numerically using Picard’s and general linear method (GLM). use trapezoidal triangular numbers as initial conditions. To demonstrate efficiency of proposed methods, exact well numerical solutions are presented graphically. In addition, a comparison is made between results from applying GLM those obtained when fif...