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

Binjie Li, Xiaoping Xie and Shiquan Zhang

Applied Mathematics and Computation, 2019, vol. 349, issue C, 408-420

Abstract: 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.

Keywords: Caputo-type; Fractional differential equation; Smoothness (search for similar items in EconPapers)
Date: 2019
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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:349:y:2019:i:c:p:408-420

DOI: 10.1016/j.amc.2018.12.052

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