On new solutions of fuzzy differential equations

Y. Chalco-Cano; H. Román-Flores

doi:10.1016/j.chaos.2006.10.043

On new solutions of fuzzy differential equations

Y. Chalco-Cano
, H. Román-Flores

Department of Mathematics

Universidad de Tarapacá

Research output: Contribution to journal › Article › peer-review

435 Scopus citations

Abstract

We study fuzzy differential equations (FDE) using the concept of generalized H-differentiability. This concept is based in the enlargement of the class of differentiable fuzzy mappings and, for this, we consider the lateral Hukuhara derivatives. We will see that both derivatives are different and they lead us to different solutions from a FDE. Also, some illustrative examples are given and some comparisons with other methods for solving FDE are made.

Original language	English
Pages (from-to)	112-119
Number of pages	8
Journal	Chaos, Solitons and Fractals
Volume	38
Issue number	1
DOIs	https://doi.org/10.1016/j.chaos.2006.10.043
State	Published - Oct 2008

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title = "On new solutions of fuzzy differential equations",

abstract = "We study fuzzy differential equations (FDE) using the concept of generalized H-differentiability. This concept is based in the enlargement of the class of differentiable fuzzy mappings and, for this, we consider the lateral Hukuhara derivatives. We will see that both derivatives are different and they lead us to different solutions from a FDE. Also, some illustrative examples are given and some comparisons with other methods for solving FDE are made.",

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AU - Román-Flores, H.

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AB - We study fuzzy differential equations (FDE) using the concept of generalized H-differentiability. This concept is based in the enlargement of the class of differentiable fuzzy mappings and, for this, we consider the lateral Hukuhara derivatives. We will see that both derivatives are different and they lead us to different solutions from a FDE. Also, some illustrative examples are given and some comparisons with other methods for solving FDE are made.

UR - https://www.scopus.com/pages/publications/41849120488

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DO - 10.1016/j.chaos.2006.10.043

M3 - Article

AN - SCOPUS:41849120488

SN - 0960-0779

VL - 38

SP - 112

EP - 119

JO - Chaos, Solitons and Fractals

JF - Chaos, Solitons and Fractals

IS - 1

ER -

On new solutions of fuzzy differential equations

Abstract

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