Abstract
In this paper, some myths associated to the initial condition problem are studied and demystified. It is shown that the initial conditions provided by the one-sided Laplace transform are not those required for Riemann-Liouville and Caputo derivatives. The problem is studied and solved with generality as well as applied to continuous-time fractional autoregressive-moving average systems.
Funder
Fundação para a Ciência e Tecnologia
Subject
General Mathematics,Engineering (miscellaneous),Computer Science (miscellaneous)
Reference69 articles.
1. Electrical Papers;Heaviside,1892
2. Electromagnetic Theory;Heaviside,1892
3. Electrical Papers;Heaviside,1894
4. Heaviside's operational calculus and the attempts to rigorise it
5. Normal Coordinates in Dynamical Systems
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