TY - JOUR
T1 - Quasilinearization method via lower and upper solutions for riemann-liouville fractional differential equations
AU - Denton, Zachary
AU - Ng, P. W.
AU - Vatsala, A. S.
PY - 2011/10/11
Y1 - 2011/10/11
N2 - Existence and comparison results of the linear and nonlinear Riemann-Liouville fractional differential equations of order q, o < q < 1, are recalled and modified where necessary. Generalized quasilinearization method is developed for nonlinear fractional differential equations of order q, using upper and lower solutions. Quadratic convergence to the unique solution is proved via weighted sequences. © 2011 InforMath Publishing Group.
AB - Existence and comparison results of the linear and nonlinear Riemann-Liouville fractional differential equations of order q, o < q < 1, are recalled and modified where necessary. Generalized quasilinearization method is developed for nonlinear fractional differential equations of order q, using upper and lower solutions. Quadratic convergence to the unique solution is proved via weighted sequences. © 2011 InforMath Publishing Group.
KW - Fractional differential equations
KW - Lower and upper solutions
KW - Quasilinearization method
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M3 - Article
SN - 1562-8353
VL - 11
SP - 239
EP - 251
JO - Nonlinear Dynamics and Systems Theory
JF - Nonlinear Dynamics and Systems Theory
IS - 3
ER -