A novel equivalent definition of Caputo fractional derivative without singular kernel and superconvergent analysis

DOI10.1063/1.4993817zbMath1393.26006arXiv1701.01283OpenAlexW2799952934MaRDI QIDQ4565423

Zhengguang Liu, Xiao-Li Li

Publication date: 12 June 2018

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1701.01283

zbMATH Keywords

Caputo fractional derivativeCrank-Nicolson finite difference scheme\(T\)-Caputo formulamobile/immobile transport model

Mathematics Subject Classification ID

Fractional derivatives and integrals (26A33) Additive difference equations (39A10) Finite element, Rayleigh-Ritz, Galerkin and collocation methods for ordinary differential equations (65L60)

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