Modified methods for solving two classes of distributed order linear fractional differential equations
作者：
Highlights：
• Two numerical methods for the distributed order Linear fractional differential equations.
• Both methods solve problems without conversion into multi-term Linear fractional DE.
• IVPs are solved by combination of Caputo definition and Chebyshev operation matrix.
• BVPs are solved by a controlled Picard's method with an auxiliary parameter.
• Several numerical examples are verified with better accuracy than existing methods.
摘要
•Two numerical methods for the distributed order Linear fractional differential equations.•Both methods solve problems without conversion into multi-term Linear fractional DE.•IVPs are solved by combination of Caputo definition and Chebyshev operation matrix.•BVPs are solved by a controlled Picard's method with an auxiliary parameter.•Several numerical examples are verified with better accuracy than existing methods.
论文关键词：Distributed-order linear fractional differential equations,Operational matrix,The Chebyshev polynomials,Picard's method
论文评审过程：Received 7 January 2017, Revised 5 September 2017, Accepted 21 November 2017, Available online 13 December 2017, Version of Record 13 December 2017.
论文官网地址：https://doi.org/10.1016/j.amc.2017.11.047
