Equations equivalent to a first order equation under differentiation

A method for solving first order fuzzy differential equation

Approximated solution of First order Fuzzy Differential Equations under generalized differentiability

In this research, a numerical method by piecewise approximated method for solving fuzzy differential equations is introduced. In this method, the solution by piecewise fuzzy polynomial is present. The base of this method is using fuzzy Taylor expansion on initial value of fuzzy differential equations. The existence, uniqueness and convergence of the approximate solution are investigated. To sho...

First order linear fuzzy differential equations under generalized differentiability

We provide solution of first order linear fuzzy differential equations by variation of constant formula. The differentiability concept used in this paper is the strongly generalized differentiability since a fuzzy differential equation under this differentiability can have decreasing legth of support function. Under some conditions we provide solution with decreasing support and so the behaviou...

Introduction to First-Order Differential Equations

where we understand that y is a function of an independent variable t . (We use t because in many examples the independent variable happens to be time, but of course any other variable could be used. In current versions of Maple, the dependence of y on t must be explicit, i.e., one must write y(t).) It is sometimes convenient to use informal notation and refer to this example as y′ = 0 (a physi...

First order linear fuzzy dynamic equations on time scales

In this paper, we study the concept of generalized differentiability for fuzzy-valued functions on time scales. Usingthe derivative of the product of two functions, we provide solutions to first order linear fuzzy dynamic equations. Wepresent some examples to illustrate our results.