On a Viscoelastic Rod with Constitutive Equation Containing Fractional Derivatives of Two Different Orders

B. Stankovic; T. M. Atanackovic

doi:10.1177/1081286504036219

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On a Viscoelastic Rod with Constitutive Equation Containing Fractional Derivatives of Two Different Orders

B. Stankovic, T. M. Atanackovic

Mathematics and Mechanics of Solids2004doi:10.1177/1081286504036219

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Abstract

We study lateral vibration of a viscoelastic rod with a generalized fractional derivative constitutive equation. We show that the motion of the rod is governed by a system of linear partial differential equations with fractional derivatives. The existence, analytical form and properties of solutions to these equations is studied. The conditions of stability, i.e. boundness of the solution, is studied in detail.

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B. Stankovic#1 T. M. Atanackovic#2

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A new method for solving dynamic problems of fractional derivative viscoelasticity

2001 · 0 citations

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10.1007/bf00879562

10.1007/bf02820620

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1974

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10.1122/1.549724

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10.1002/1521-4001(200106)81:63.0.co;2-9

10.1002/1521-4001(200106)81:6<363::aid-zamm363>3.0.co;2-9

On a Viscoelastic Rod with Constitutive Equation Containing Fractional Derivatives of Two Different Orders

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