English

A Note on "Global solutions for nonlinear fuzzy fractional integral and integrodifferential equations"

Classical Analysis and ODEs 2014-12-11 v1

Abstract

The authors in \cite{alikhani} have given two examples to illustrate their results in which they have been eliminated the technical details. However, the authors in \cite{salahshur} claimed that the examples are incorrect. In fact they conjectured that the authors in \cite{alikhani} have employed the incorrect statement xx=0x-x=0 for xRFRx\in {\mathbb R}_{\mathcal F}\setminus \mathbb R to construct the examples. Here we intend to observe that the basic method used in \cite{alikhani} to prove the validity of the examples is the well-known L-U representation of a fuzzy-number valued function. In this sense, we will make use of the α\alpha-level sets and show that the examples are correct.

Keywords

Cite

@article{arxiv.1412.3372,
  title  = {A Note on "Global solutions for nonlinear fuzzy fractional integral and integrodifferential equations"},
  author = {R. Alikhani and F. Bahrami},
  journal= {arXiv preprint arXiv:1412.3372},
  year   = {2014}
}