Cauchy-Lipschitz theory for fractional multi-order dynamics: state-transition matrices, Duhamel formulas and duality theorems. (Q1642883)
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| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Cauchy-Lipschitz theory for fractional multi-order dynamics: state-transition matrices, Duhamel formulas and duality theorems. |
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Cauchy-Lipschitz theory for fractional multi-order dynamics: state-transition matrices, Duhamel formulas and duality theorems. (English)
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15 June 2018
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This paper is a very interesting one for the multi-order fractional calculus. The author defines the fractional state transition matrix and the fractional versions of the classical Duhamel formula. He studies two Cauchy problems for Riemann-Liouville and Caputo multi-order fractional derivatives.
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classical state-transition matrices
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classical Duhamel formula
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multi-order fractional calculus for matrix functions
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fractional multi-order vector Cauchy problems
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fractional state-transition matrices
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fractional Duhamel formulas
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