No abstract

No abstract

In this paper we propose a fuzzy Laplace transform and under the strongly generalized differentiability concept, we use it in an analytic solution method for some fuzzy differential equations (FDEs). The related theorems and properties are proved in detail and the method is illustrated by solving some examples.

No abstract

We give the explicit solutions of uncertain fractional differential equations (UFDEs) under RiemannLiouville H-differentiability using Mittag-Leffler functions. To this end, Riemann-Liouville H-differentiability is introduced which is a direct generalization of the concept of Riemann-Liouville differentiability in deterministic sense to the fuzzy context. Moreover, equivalent integral forms of UFDEs are determined which are applied to derive the explicit solutions. Finally, some illustrative examples are given.

No abstract

No abstract

In this paper, numerical algorithms for solving “fuzzy ordinary differential equations” are considered. A scheme based on the Taylor method of order p is discussed in detail and this is followed by a complete error analysis. The algorithm is illustrated by solving some linear and nonlinear fuzzy Cauchy problems.