Life and science of Alexey Gerasimov, one of the pioneers of fractional calculus in Soviet Union

DOI10.1515/FCA-2017-0040zbMath1366.01058OpenAlexW2725097198MaRDI QIDQ2360553

Olga G. Novozhenova

Publication date: 4 July 2017

Published in: Fractional Calculus \& Applied Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/fca-2017-0040

zbMATH Keywords

Stieltjes integrallinear operatorsafter-effect and relaxation of elastic materialsfractional derivative in Caputo's sensefractional derivative in viscoelasticitylinear models of dissipationRiesz correspondence principle

Mathematics Subject Classification ID

Biographies, obituaries, personalia, bibliographies (01A70) Fractional derivatives and integrals (26A33) Linear constitutive equations for materials with memory (74D05) History of real functions (26-03) History of mechanics of deformable solids (74-03)

Related Items (6)

Strongly continuous resolving families of operators for equations with a fractional derivative ⋮ Quasilinear equations with a sectorial set of operators at Gerasimov-Caputo derivatives ⋮ Fractional Stefan problem: a survey of the recent results ⋮ Fractional operator viscoelastic models in dynamic problems of mechanics of solids: a review ⋮ Parallel algorithms for modelling two-dimensional non-equilibrium salt transfer processes on the base of fractional derivative model ⋮ Approximate calculation of the Caputo-type fractional derivative from inaccurate data. Dynamical approach

Cites Work

• Fractional derivatives for physicists and engineers. Volume I: Background and theory. Volume II: Applications
• Some pioneers of the applications of fractional calculus
• Equilibrium of an elastic medium with after-effect
• Релаксационные явления в металлах и сплавах, подвергнутых деформированию
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