On a class of equations arising in linear viscoelasticity theory

DOI10.1002/zamm.200310209zbMath1076.74014OpenAlexW2051722480MaRDI QIDQ5696166

Stevan Pilipović, Teodor M. Atanacković

Publication date: 10 October 2005

Published in: ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/zamm.200310209

zbMATH Keywords

existenceuniquenessRiemann-Liouville fractional derivative

Mathematics Subject Classification ID

Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Integro-ordinary differential equations (45J05) Fractional derivatives and integrals (26A33) Linear constitutive equations for materials with memory (74D05) Existence of solutions of dynamical problems in solid mechanics (74H20) Uniqueness of solutions of dynamical problems in solid mechanics (74H25)

Related Items (8)

On a nonlinear distributed order fractional differential equation ⋮ Distributed-order fractional wave equation on a finite domain: creep and forced oscillations of a rod ⋮ Inverse source problem for a space-time fractional diffusion equation ⋮ Distributed-order fractional wave equation on a finite domain. Stress relaxation in a rod ⋮ Systems described by Volterra type integral operators ⋮ Semilinear ordinary differential equation coupled with distributed order fractional differential equation ⋮ Distributional framework for solving fractional differential equations ⋮ Fractional differential equations through Laguerre expansions in abstract spaces: error estimates

Cites Work

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