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In this article, we establish sufficient conditions for the existence of mild solutions for fractional evolution differential equations by using a new fixed point theorem. The results obtained here improve and generalize many known results. An example is also given to illustrate our results.
The Wiener process W takes values in a Hilbert space , A is the generator of a C0 semigroup of contractions in a separable Banach space E and the coefficient F defined on [0,T ] C is continuous. There exists a real and separable Hilbert space H such that the Banach space E is continuously and densely embedded in it. In this article, we will show the… (More)
In order to obtain obstacle information in the cross-county environment for an unmanned ground vehicle (UGV), AK-means clustering algorithm is applied in four-layer laser radar data mining in this paper. The result of clustering serves as candidate obstacles. To overcome the false clustering due to vibration of UGV, weighted Euclidean distance is used to… (More)