Advances in Difference Equations
Volume 2010 (2010), Article ID 340349, 10 pages
doi:10.1155/2010/340349
Solutions to fractional differential equations with nonlocal initial condition in Banach spaces
Zhi-Wei Lv1
, Jin Liang2
and Ti-Jun Xiao3
1Department of Mathematics, University of Science and Technology of China, Hefei, Anhui 230026, China
2Department of Mathematics, Shanghai Jiao Tong University, Shanghai 200240, China
3Shanghai Key Laboratory for Contemporary Applied Mathematics, School of Mathematical Sciences, Fudan University, Shanghai 200433, China
Abstract
A new existence and uniqueness theorem is given for solutions to differential equations involving the Caputo fractional derivative with nonlocal initial condition in Banach spaces. An application is also given.