TY - JOUR ID - Zhang2016 LB - Zhang2016 AU - Zhang, Xuping AU - Chen, Pengyu TI - Fractional evolution equation nonlocal problems with noncompact semigroups ST - Fractional evolution equation nonlocal problems with noncompact semigroups JO - Opuscula Math. JA - Opuscula Math. JF - Opuscula Mathematica PY - 2016 VL - 36 IS - 1 SP - 123 EP - 137 DO - http://dx.doi.org/10.7494/OpMath.2016.36.1.123 UR - http://dx.doi.org/10.7494/OpMath.2016.36.1.123 AB - 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. KW - fractional evolution equation KW - mild solution KW - nonlocal condition KW - \(C_0\)-semigroup KW - condensing maps KW - measure of noncompactness SN - 1232-9274 ER -