TY  - JOUR
ID  - Dong2011
LB  - Dong2011
AU  - Dong, XiWang
AU  - Wang, JinRong
AU  - Zhou, Yong
TI  - On nonlocal problems for fractional differential equations in Banach spaces
ST  - On nonlocal problems for fractional differential equations in Banach spaces
JO  - Opuscula Math.
JA  - Opuscula Math.
JF  - Opuscula Mathematica
PY  - 2011
VL  - 31
IS  - 3
SP  - 341
EP  - 357
DO  - http://dx.doi.org/10.7494/OpMath.2011.31.3.341
UR  - http://dx.doi.org/10.7494/OpMath.2011.31.3.341
AB  - In this paper, we study the existence and uniqueness of solutions to the nonlocal problems for the fractional differential equation in Banach spaces. New sufficient conditions for the existence and uniqueness of solutions are established by means of fractional calculus and fixed point method under some suitable conditions. Two examples are given to illustrate the results.
KW  - nonlocal problems
KW  - fractional differential equations
KW  - existence
KW  - generalized singular Gronwall inequality
KW  - fixed point method
SN  - 1232-9274
ER  -