A new approach to linear interval differential equations as a first step toward solving fuzzy differential

Autor(es)

da Costa, Tiago M. ^[1] ; Chalco-Cano, Yurilev ^[2] ; Lodwick, Weldon A. ^[1] ; Silva, Geraldo N. ^[3]

Afiliação do(s) autor(es)

^[1] Univ Colorado, Dept Math & Stat Sci, Denver, CO 80204 - USA

^[2] Univ Tarapaca, Inst Alta Invest, Casilla 7-D, Arica - Chile

^[3] UNESP Univ Estadual Paulista, Dept Appl Math, Sao Jose Do Rio Preto - Brazil

• Tipo de documento: Artigo Científico
• Fonte: FUZZY SETS AND SYSTEMS; v. 347, p. 129-141, SEP 15 2018.
• Citações Web of Science: 1

Resumo

This study uses a concept of interval differentiability, which was recently introduced, to formulate interval initial value problems involving linear interval differential equations. Differently from the approaches that use the g H-differentiability, this study does not make use of a criterion of choice for switching points in order to obtain solutions for such problems. The method herein presented provides solutions in a simple, straightforward, and computationally tractable way. Moreover, these solutions are intuitive because they coincide with the solutions given by a differential inclusion method. The efficiency and practicality of our approach are illustrated through some examples that have appeared in other articles. (C) 2017 Elsevier B.V. All rights reserved. (AU)

• Processo FAPESP: 13/07375-0 - CeMEAI - Centro de Ciências Matemáticas Aplicadas à Indústria
• Beneficiário: José Alberto Cuminato
• Linha de fomento: Auxílio à Pesquisa - Centros de Pesquisa, Inovação e Difusão - CEPIDs