Pseudo almost automorphic solutions of fractional order neutral differential equation (Q617846)

The article is concerned with the existence of pseudo almost automorphic solutions to a class of nonautonomous partial differential equations. To get his results, the author assumes the existence of an evolution family \(U(t,s)\), \(t\geq s>-\infty\). This allows for the construction of a nonlinear operator whose fixed point will be the mild solution to the problem under investigation. On the other hand, by means of a fixed point theorem, like Krasnosel'skii's fixed point theorem, an result on the existence of a solution is obtained.