4.7 Article

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

Journal

Publisher

ELSEVIER SCIENCE BV
DOI: 10.1016/j.cam.2016.05.014

Keywords

Riemann-Liouville integrals and derivatives; Caputo derivatives; The generalized Riemann-Liouville derivatives

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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. (C) 2016 Elsevier B.V. All rights reserved.

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