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Physical interpretation of initial conditions for fractional differential equations with Riemann-Liouville fractional derivatives

Nicole Heymans·Igor Podlubny
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Abstract

On a series of examples from the field of viscoelasticity we demonstrate that it is possible to attribute physical meaning to initial conditions expressed in terms of Riemann-Liouville fractional derivatives, and that it is possible to obtain initial values for such initial conditions by appropriate measurements or observations.

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Nicole Heymans, Igor Podlubny. 2005-12-09. Physical interpretation of initial conditions for fractional differential equations with Riemann-Liouville fractional derivatives. https://doi.org/10.1007/s00397-005-0043-5

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