Research
Existence of mild solutions for fractional evolution equations with nonlocal conditions
Author affiliations
Department of Mathematics, Northwest Normal University, Lanzhou, 730070, People’s Republic of China
Citation and License
Boundary Value Problems 2012, 2012:113 doi:10.1186/1687-2770-2012-113
Published: 17 October 2012Abstract
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.
