On the solutions to first order linear fuzzy differential equations
type: Item
instance of: scholarly article
title: On the solutions to first order linear fuzzy differential equations
zbMATH Open document ID: 1379.34004
author: A. Khastan
author: Rosana Rodrıǵuez-López
published in: Fuzzy Sets and Systems
publication date: 2017-11-13T00:00:00Z
review text: The authors study the solvability of different types of first order linear fuzzy differential equations, from the point of view of generalized differentiability and give optimal sufficient (also necessary) conditions for the existence of solution to the initial value problem related, respectively, to the equations \[ y'(t)=a(t)y(t)+b(t), \,\, y'(t)+(-a(t))y(t)=b(t)\,\, \text{and}\,\,y'(t)+(-b(t))=a(t)y(t) \] obtaining also the explicit expressions of the solutions. The authors prove that the same expressions can be solutions to different problems, depending on the existence of the appropriate type of Hukuhara differences. Some examples illustrate these results.
reviewed by: Andrej V. Plotnikov
Mathematics Subject Classification ID: 34A07
Mathematics Subject Classification ID: 34A30
zbMATH DE Number: 6806597
zbMATH Keywords: first-order fuzzy differential equations
zbMATH Keywords: generalized differentiability
zbMATH Keywords: fuzzy linear differential equations
MaRDI profile type: Publication
full work available at URL: j.fss.2015.06.005
OpenAlex ID: W597982231
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DOI: 10.1016/J.FSS.2015.06.005
description: scientific article; zbMATH DE number 6806597