Physical interpretation of initial conditions for fractional differential equations with Riemann-Liouville fractional derivatives |
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| Authors: | Nicole Heymans Igor Podlubny |
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| Institution: | (1) Physique des Matériaux de Synthèse, Université Libre de Bruxelles, CP259, boulevard du Triomphe, 1050 Bruxelles, Belgium;(2) B.E.R.G. Faculty, Technical University of Kosice, B. Nemcovej 3, 04200 Kosice, Slovak Republic |
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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.Dedicated to professor Hari M. Srivastava on the occasion of his 65th birthday |
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