| Volume 7, Number 1, 2017, Pages 291-308 DOI：10.11948/2017020 |
| Existence results of second order impulsive functional differential equations with infinite delay and fractional damping |
| Shengli Xie |
| Keywords:Mild solutions, classical solutions, strong solution, continuous dependence, fixed point. |
| Abstract: |
| In this paper we prove the existence, uniqueness, regularity and continuous dependence of mild solutions for second order impulsive functional differential equations with infinite delay and fractional damping in Banach spaces. We generalize the existence theorem of integer order differential equations to the fractional order case. The results obtained here improve and generalize some known results. |
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