Abstract
In this paper, by using Sadovskii fixed point theorem, we study the existence and regularity of mild solutions for a class of abstract neutral functional evolution equations with infinite delay, where the linear part is non-autonomous and generates a linear evolution system. The fraction power theory and α-norm is used to discuss the problem so that the obtained results can be applied the equations which involve spatial derivatives. An example is presented to show the applications of the obtained results.
| Original language | English |
|---|---|
| Pages (from-to) | 691-706 |
| Number of pages | 16 |
| Journal | Dynamics of Continuous, Discrete and Impulsive Systems Series A: Mathematical Analysis |
| Volume | 17 |
| Issue number | 5 |
| State | Published - 2010 |
Keywords
- Fractional power operator
- Infinite delay
- Linear evolution operator
- Neutral functional evolution equation