A new representation formula for the Hilfer fractional derivative and its application

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摘要

In the paper, we derive an equivalent definition of the generalized Riemann–Liouville derivative (derivative in the Hilfer sense). Next, we show that the new formula for such derivative is very useful in practical applications.

论文关键词：26A33,26A46,Riemann–Liouville integrals and derivatives,Caputo derivatives,The generalized Riemann–Liouville derivatives

论文评审过程：Received 6 January 2016, Revised 14 April 2016, Available online 25 May 2016, Version of Record 10 June 2016.

论文官网地址：https://doi.org/10.1016/j.cam.2016.05.014