Open Access

Erratum to: Existence of mild solutions for fractional nonlocal evolution equations with delay in partially ordered Banach spaces

Advances in Difference Equations20172017:40

https://doi.org/10.1186/s13662-017-1100-y

Received: 2 February 2017

Accepted: 2 February 2017

Published: 6 February 2017

The original article was published in Advances in Difference Equations 2017 2017:11

In the publication of this article [1], there was an error in Chapter 4 Application on page 9. The error:
$$h\bigl(t,y,x_{t}(\tau,y)\bigr) \textstyle\begin{cases} 1, & \mbox{if } x\leq 0,\\ 1+2x_{t} (\tau,y), & \mbox{if } 0< x< 2,\\ 5, & \mbox{if } 0\geq 2, \end{cases}\displaystyle \qquad g(x) (y) \textstyle\begin{cases} 1, & \mbox{if } x\leq 0,\\ 1+\frac{x(t,y)}{1+x(t,y)}, & \mbox{if } x>0. \end{cases} $$
Instead should indicate:
$$h\bigl(t,y,x_{t}(\tau,y)\bigr)= \textstyle\begin{cases} 1, & \mbox{if } x\leq 0,\\ 1+2x_{t} (\tau,y), & \mbox{if } 0< x< 2,\\ 5, & \mbox{if } 0\geq 2, \end{cases}\displaystyle \qquad g(x) (y)= \textstyle\begin{cases} 1, & \mbox{if } x\leq 0,\\ 1+\frac{x(t,y)}{1+x(t,y)}, & \mbox{if } x>0. \end{cases} $$
This has now been included in the original article and the erratum.

Notes

Declarations

Open Access This article is distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution, and reproduction in any medium, provided you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license, and indicate if changes were made.

Authors’ Affiliations

(1)
College of Science, Gansu Agricultural University
(2)
College of Mathematics and Statistics, Northwest Normal University
(3)
Department of Mathematics, Texas A&M University-Kingsville

References

  1. Liang, Y, Yang, H, Guo, K: Existence of mild solutions for fractional nonlocal evolution equations with delay in partially ordered Banach spaces. Bound. Value Probl. 2017, 11 (2017). doi:10.1186/s13662-016-1058-1 View ArticleGoogle Scholar

Copyright

© The Author(s) 2017