Numerical solution of multi-order fractional differential equations using generalized triangular function operational matrices

作者：

Highlights：

• Present article proposes numerical technique for the solution of linear and nonlinear multi-order fractional differential equations.

• The proposed method is based on newly computed generalized triangular function operational matrices for Riemann–Liouville fractional order integral.

• Theoretical error analysis is performed to estimate the upper bound of absolute error between the exact Riemann–Liouville fractional order integral and its approximation in the triangular functions domain.

摘要

•Present article proposes numerical technique for the solution of linear and nonlinear multi-order fractional differential equations.•The proposed method is based on newly computed generalized triangular function operational matrices for Riemann–Liouville fractional order integral.•Theoretical error analysis is performed to estimate the upper bound of absolute error between the exact Riemann–Liouville fractional order integral and its approximation in the triangular functions domain.

论文关键词：Triangular functions,Multi-order fractional differential equations,Riemann–Liouville fractional integral

论文评审过程：Received 8 September 2014, Accepted 11 April 2015, Available online 21 May 2015, Version of Record 21 May 2015.

论文官网地址：https://doi.org/10.1016/j.amc.2015.04.051