Numerical solution of fuzzy delay differential equations under generalized differentiability by Euler's method

In this paper, we interpret a fuzzy delay differential equations using the concept of generalized differentiability. Using the Generalized Characterization Theorem, we investigate the problem of finding a numerical approximation of solutions. The Euler approximation method is implemented and its error analysis is discussed. The applicability of the theoretical results is illustrated with some examples

Analytical solutions forfuzzysystem using power series approach

The aim of the present paper is present a relatively new analytical method, called residual power series (RPS) method, for solving system of fuzzy initial value problems under strongly generalized differentiability. The technique methodology provides the solution in the form of a rapidly convergent series with easily computable components using symbolic computation software. Several computational experiments are given to show the good performance and potentiality of the proposed procedure. The results reveal that the present simulated method is very effective, straightforward and powerful methodology to solve such fuzzy equations

On linear fuzzy differential equations by differential inclusions' approach

In this paper, we study first order linear fuzzy differential equations under differential inclusions and strongly generalized differentiability approaches. We present some new results on the relation between their solutions. Finally, some examples are given to illustrate our results.The research has been partially supported by AEI of Spain under grant MTM2016-75140-P, and Xunta de Galicia under grants GRC2015/004 and R2016-022.S

A reinterpretation of set differential equations as differential equations in a Banach space

Set differential equations are usually formulated in terms of the Hukuhara differential, which implies heavy restrictions for the nature of a solution. We propose to reformulate set differential equations as ordinary differential equations in a Banach space by identifying the convex and compact subsets of $\R^d$ with their support functions. Using this representation, we demonstrate how existence and uniqueness results can be applied to set differential equations. We provide a simple example, which can be treated in support function representation, but not in the Hukuhara setting