TY  - JOUR
ID  - Denton2011
LB  - Denton2011
AU  - Denton, Z.
AU  - Vatsala, A. S.
TI  - Monotone iterative technique for finite systems of nonlinear Riemann-Liouville fractional differential equations
ST  - Monotone iterative technique for finite systems of nonlinear Riemann-Liouville fractional differential equations
JO  - Opuscula Math.
JA  - Opuscula Math.
JF  - Opuscula Mathematica
PY  - 2011
VL  - 31
IS  - 3
SP  - 327
EP  - 339
DO  - http://dx.doi.org/10.7494/OpMath.2011.31.3.327
UR  - http://dx.doi.org/10.7494/OpMath.2011.31.3.327
AB  - Comparison results of the nonlinear scalar Riemann-Liouville fractional differential equation of order \(q\), \(0 \lt q \leq 1\), are presented without requiring Hölder continuity assumption. Monotone method is developed for finite systems of fractional differential equations of order \(q\), using coupled upper and lower solutions. Existence of minimal and maximal solutions of the nonlinear fractional differential system is proved.
KW  - fractional differential systems
KW  - coupled lower and upper solutions
KW  - mixed quasimonotone property
SN  - 1232-9274
ER  -