Skip to content

Advertisement

  • Erratum
  • Open Access

Erratum to: On the existence of mild solutions to the Cauchy problem for a class of fractional evolution equation

Advances in Difference Equations20152015:262

https://doi.org/10.1186/s13662-015-0606-4

  • Received: 12 August 2015
  • Accepted: 12 August 2015
  • Published:

The original article was published in Advances in Difference Equations 2012 2012:40

After publication of our work [1] we noticed that there were errors in some equations.

The original equations and corrected equations are given below.

In Remark 2.11 on page 5, ‘at \(t=0\).’ should be ‘at \(t=0\) when \(h(0,x(0))=0\).’

At the end of (3.2) on page 7, ‘=0.’ should be ‘\(ds=0\).’

In (1) of Theorem 3.1, on line 14 of page 7, ‘\(x_{0}\in D(A^{\beta})\)’ should be ‘\(x_{0}\in D(A^{\alpha+\beta})\)’.

In Step 1 of the proof of Theorem 3.1, on line 2 of page 8,
$$\sup\{\eta(t)\}\leq K $$
should be
$$\sup_{t\in R^{+}} \eta(t)\leq K. $$

In Example 4.2, on page 13, ‘Schro” dinger’ should be ‘Schrödinger’.

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)
Department of Mathematics, Shanghai Jiao Tong University, Shanghai, 200240, P.R. China
(2)
School of Mathematics, Yunnan Normal University, Kunming, 650092, P.R. China
(3)
Texas A & M University at Qatar, c/o Qatar Foundation, P.O. Box 5825, Doha, Qatar

References

  1. Liang, J, Yan, SH, Li, F, Huang, TW: On the existence of mild solutions to the Cauchy problem for a class of fractional evolution equation. Adv. Differ. Equ. 2012, 40 (2012) MathSciNetView ArticleGoogle Scholar

Copyright

© Liang et al. 2015

Advertisement