TY  - JOUR
ID  - Ramírez2009
LB  - Ramírez2009
AU  - Ramírez, J. D.
AU  - Vatsala, A. S.
TI  - Monotone iterative technique for fractional differential equations with periodic boundary conditions
ST  - Monotone iterative technique for fractional differential equations with periodic boundary conditions
JO  - Opuscula Math.
JA  - Opuscula Math.
JF  - Opuscula Mathematica
PY  - 2009
VL  - 29
IS  - 3
SP  - 289
EP  - 304
DO  - http://dx.doi.org/10.7494/OpMath.2009.29.3.289
UR  - http://dx.doi.org/10.7494/OpMath.2009.29.3.289
AB  - In this paper we develop Monotone Method using upper and lower solutions for fractional differential equations with periodic boundary conditions. Initially we develop a comparison result and prove that the solution of the linear fractional differential equation with periodic boundary condition exists and is unique. Using this we develop iterates which converge uniformly monotonically to minimal and maximal solutions of the nonlinear fractional differential equations with periodic boundary conditions in the weighted norm.
KW  - Riemann-Liouville fractional derivative
KW  - monotone method
KW  - periodic boundary value problem
SN  - 1232-9274
ER  -