TY  - JOUR
ID  - Lv2011
LB  - Lv2011
AU  - Lv, LinLi
AU  - Wang, JinRong
AU  - Wei, Wei
TI  - Existence and uniqueness results for fractional differential equations with boundary value conditions
ST  - Existence and uniqueness results for fractional differential equations with boundary value conditions
JO  - Opuscula Math.
JA  - Opuscula Math.
JF  - Opuscula Mathematica
PY  - 2011
VL  - 31
IS  - 4
SP  - 629
EP  - 643
DO  - http://dx.doi.org/10.7494/OpMath.2011.31.4.629
UR  - http://dx.doi.org/10.7494/OpMath.2011.31.4.629
AB  - In this paper, we study the existence and uniqueness of fractional differential equations with boundary value conditions. A new generalized singular type Gronwall inequality is given to obtain important a priori bounds. Existence and uniqueness results of solutions are established by virtue of fractional calculus and fixed point method under some weak conditions. An example is given to illustrate the results.
KW  - fractional differential equations
KW  - boundary value conditions
KW  - singular Gronwall inequality
KW  - existence
KW  - uniqueness
SN  - 1232-9274
ER  -