%0 Journal Article
%T A Note on a Semilinear Fractional Differential Equation of Neutral Type with Infinite Delay
%A Gisle M. Mophou
%A Gaston M. N&#39
%A Gu&#233
%A r&#233
%A kata
%J Advances in Difference Equations
%D 2010
%I Springer
%R 10.1155/2010/674630
%X We deal in this paper with the mild solution for the semilinear fractional differential equation of neutral type with infinite delay: D¦Áx(t)+Ax(t)=f(t,xt), t¡Ê[0,T], x(t)= (t), t¡Ê] ¡Þ,0], with T>0 and 0<¦Á<1. We prove the existence (and uniqueness) of solutions, assuming that  A is a linear closed operator which generates an analytic semigroup (T(t))t¡Ý0 on a Banach space    by means of the Banach's fixed point theorem. This generalizes some recent results.
%U http://dx.doi.org/10.1155/2010/674630