TY  - JOUR
ID  - Denton2020
LB  - Denton2020
AU  - Denton, Zachary
AU  - Ramírez, Juan Diego
TI  - Quasilinearization method for finite systems of nonlinear RL fractional differential equations
ST  - Quasilinearization method for finite systems of nonlinear RL fractional differential equations
JO  - Opuscula Math.
JA  - Opuscula Math.
JF  - Opuscula Mathematica
PY  - 2020
VL  - 40
IS  - 6
SP  - 667
EP  - 683
DO  - https://doi.org/10.7494/OpMath.2020.40.6.667
UR  - https://doi.org/10.7494/OpMath.2020.40.6.667
AB  - In this paper the quasilinearization method is extended to finite systems of Riemann-Liouville fractional differential equations of order \(0\lt q\lt 1\). Existence and comparison results of the linear Riemann-Liouville fractional differential systems are recalled and modified where necessary. Using upper and lower solutions, sequences are constructed that are monotonic such that the weighted sequences converge uniformly and quadratically to the unique solution of the system. A numerical example illustrating the main result is given.
KW  - fractional differential systems
KW  - lower and upper solutions
KW  - quasilinearization method
SN  - 1232-9274
ER  -