New results for fractional evolution equations using Banach fixed point theorem

Document Type : Research Paper


1 LPAM, Faculty of SEI, UMAB, University of Mostaganem, Algeria

2 Faculty of Mathematics, USTHB of Algiers, Algeria


In this paper, we study the existence of solutions for fractional evolution equations with nonlocal conditions. These results are obtained using Banach contraction fixed point theorem. Other results are also presented using Krasnoselskii theorem.


  • Receive Date: 23 June 2013
  • Revise Date: 08 February 2014
  • Accept Date: 19 February 2014