Existence of mild solutions for fractional evolution equations with nonlocal conditions
Department of Mathematics, Northwest Normal University, Lanzhou, 730070, People’s Republic of China
Boundary Value Problems 2012, 2012:113 doi:10.1186/1687-2770-2012-113Published: 17 October 2012
This paper deals with the existence and uniqueness of mild solutions for a class of fractional evolution equations with nonlocal initial conditions. We present some local growth conditions on a nonlinear part and a nonlocal term to guarantee the existence theorems. An example is given to illustrate the applicability of our results.
MSC: 34A12, 35F25.