TY - JOUR
T1 - Generalized quasilinearization method for RL fractional differential equations
AU - Denton, Zachary
AU - Vatsala, A. S.
PY - 2012/12/1
Y1 - 2012/12/1
N2 - Existence and comparison results of the linear and nonlinear Riemann-Liouville fractional differential equations and nonlinear systems of order q, 0 < q < 1, are recalled and modified where necessary. Generalized quasilinearization method is developed for decomposed nonlinear fractional differential equations of order q, using coupled upper and lower solutions. Quadratic convergenceto the unique solution is proved via weighted sequences.
AB - Existence and comparison results of the linear and nonlinear Riemann-Liouville fractional differential equations and nonlinear systems of order q, 0 < q < 1, are recalled and modified where necessary. Generalized quasilinearization method is developed for decomposed nonlinear fractional differential equations of order q, using coupled upper and lower solutions. Quadratic convergenceto the unique solution is proved via weighted sequences.
KW - Fractional differential equations
KW - Lower and upper solutions
KW - Quasilinearization method
UR - https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=84872451663&origin=inward
UR - https://www.scopus.com/inward/citedby.uri?partnerID=HzOxMe3b&scp=84872451663&origin=inward
M3 - Article
SN - 1359-8678
VL - 19
SP - 637
EP - 652
JO - Nonlinear Studies
JF - Nonlinear Studies
IS - 4
ER -