This paper considers the initialization of fractional-order differential equations. The initialization responses obtained using the Caputo derivative are compared with the exact initialization responses from the Riemann-Liouville definition of the fractional derivative. The error incurred in using the Caputo derivative for initialization problems in fractionalorder differential equations is presented.

Volume Subject Area:
7th International Conference on Multibody Systems, Nonlinear Dynamics, and Control
Keywords:
Fractional-order systems, initialization, Caputo derivative, rho-function
Topics:
Errors, Laplace transforms, Differential equations
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