Opuscula Math. 36, no. 1 (2016), 123-137
Fractional evolution equation nonlocal problems with noncompact semigroups
Abstract. This paper is concerned with the existence results of mild solutions to the nonlocal problem of fractional semilinear integro-differential evolution equations. New existence theorems are obtained by means of the fixed point theorem for condensing maps. The results extend and improve some related results in this direction.
Keywords: fractional evolution equation, mild solution, nonlocal condition, \(C_0\)-semigroup, condensing maps, measure of noncompactness.
Mathematics Subject Classification: 34A12, 35F25, 35R11.