A new smoothness result for Caputo-type fractional ordinary differential equations

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摘要

We present a new smoothness result for Caputo-type fractional ordinary differential equations, which reveals that, subtracting a non-smooth function that can be obtained by the information available, a non-smooth solution belongs to Cm for some positive integer m.

论文关键词：Caputo-type,Fractional differential equation,Smoothness

论文评审过程：Received 18 June 2018, Revised 21 December 2018, Accepted 26 December 2018, Available online 12 January 2019, Version of Record 12 January 2019.

论文官网地址：https://doi.org/10.1016/j.amc.2018.12.052