TY  - JOUR
ID  - Dou2011
LB  - Dou2011
AU  - Dou, Xiaoyan
AU  - Li, Yongkun
AU  - Liu, Ping
TI  - Existence of solutions for a four-point boundary value problem of a nonlinear fractional differential equation
ST  - Existence of solutions for a four-point boundary value problem of a nonlinear fractional differential equation
JO  - Opuscula Math.
JA  - Opuscula Math.
JF  - Opuscula Mathematica
PY  - 2011
VL  - 31
IS  - 3
SP  - 359
EP  - 372
DO  - http://dx.doi.org/10.7494/OpMath.2011.31.3.359
UR  - http://dx.doi.org/10.7494/OpMath.2011.31.3.359
AB  - In this paper, we discuss a four-point boundary value problem for a nonlinear differential equation of fractional order. The differential operator is the Riemann-Liouville derivative and the inhomogeneous term depends on the fractional derivative of lower order. We obtain the existence of at least one solution for the problem by using the Schauder fixed-point theorem. Our analysis relies on the reduction of the problem considered to the equivalent Fredholm integral equation.
KW  - four-point boundary value problem
KW  - Riemann-Liouville fractional derivative
KW  - Green's function
KW  - Schauder fixed-point theorem
SN  - 1232-9274
ER  -