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

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

2005-12-09

arxiv.org/abs/math-ph/0512028v1

Rheologica Acta, Vol. 45, No. 5, June 2006, pp.765-771. Journal ISSN 0035-4511 (Print) 1435-1528 (Online). Online Date: 29 Nov

Physics

Mathematical Physics

LaTeX2e, 14 pages

Scientific paper

10.1007/s00397-005-0043-5

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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