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

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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’.

References

  1. 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)

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Author information

Correspondence to Jin Liang.

Additional information

The online version of the original article can be found under doi:10.1186/1687-1847-2012-40.

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