Cauchy-Lipschitz theory for fractional multi-order dynamics: state-transition matrices, Duhamel formulas and duality theorems.

zbMath1438.34020arXiv1707.02314MaRDI QIDQ1642883

Loïc Bourdin

Publication date: 15 June 2018

Published in: Differential and Integral Equations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1707.02314

zbMATH Keywords

classical Duhamel formulaclassical state-transition matricesfractional Duhamel formulasfractional multi-order vector Cauchy problemsfractional state-transition matricesmulti-order fractional calculus for matrix functions

Mathematics Subject Classification ID

Initial value problems, existence, uniqueness, continuous dependence and continuation of solutions to ordinary differential equations (34A12) Fractional derivatives and integrals (26A33) Fractional ordinary differential equations (34A08)

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