Quasilinearization technique for solving nonlinear Riemann-Liouville fractional-order problems
作者：
Highlights：
• Consider the quasilinearization technique for nonlinear boundary value problems.
• Introduce and prove a fresh comparison principle of Riemann-Liouville fractional-order differential equations.
• Depict the algorithm to construct the monotone sequences.
• Show uniform and quadratical convergence of approximate sequences of solutions.
• A numerical example illustrates the efficiency of the regularization methods established.
摘要
•Consider the quasilinearization technique for nonlinear boundary value problems.•Introduce and prove a fresh comparison principle of Riemann-Liouville fractional-order differential equations.•Depict the algorithm to construct the monotone sequences.•Show uniform and quadratical convergence of approximate sequences of solutions.•A numerical example illustrates the efficiency of the regularization methods established.
论文关键词：Boundary value problem,Quasilinearization technique,Quadratic convergence
论文评审过程：Received 2 October 2018, Revised 12 February 2020, Accepted 28 February 2020, Available online 20 March 2020, Version of Record 20 March 2020.
论文官网地址：https://doi.org/10.1016/j.amc.2020.125199
