TY - JOUR T1 - A Multiple Interval Chebyshev-Gauss-Lobatto Collocation Method for Multi-Order Fractional Differential Equations JO - East Asian Journal on Applied Mathematics VL - 3 SP - 649 EP - 672 PY - 2022 DA - 2022/04 SN - 12 DO - http://doi.org/10.4208/eajam.011221.110122 UR - https://global-sci.org/intro/article_detail/eajam/20412.html KW - Multi-order fractional differential equation, Chebyshev-Gauss-Lobatto collocation method, $hp$-version error bound. AB -

A multiple interval Chebyshev-Gauss-Lobatto collocation method for solving multi-order fractional differential equations is proposed. The $hp$-version error estimates of the Chebyshev spectral collocation method are obtained in $L^2$- and $L^∞$-norms. Numerical experiments illustrate the theoretical results.