4.6 Article

A boundary value problem for second order fuzzy differential equations

Journal

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS
Volume 72, Issue 9-10, Pages 3583-3593

Publisher

PERGAMON-ELSEVIER SCIENCE LTD
DOI: 10.1016/j.na.2009.12.038

Keywords

Boundary value problem; Second order fuzzy differential equations; Generalized differentiability; Generalized solution

Funding

  1. Ministerio de Educacion y Ciencia and FEDER [MTM2007-61724]
  2. Xunta de Galicia and FEDER [PGIDIT06PXIB207023PR]

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In this paper, we interpret a two-point boundary value problem for a second order fuzzy differential equation by using a generalized differentiability concept. We present a new concept of solutions and, utilizing the generalized differentiability, we investigate the problem of finding new solutions. Some examples are provided for which the new solutions are found. (C) 2009 Elsevier Ltd. All rights reserved.

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