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

Author:

Novozhenova Olga G.1

Affiliation:

1. Mech. Engin. Research Institute , Russian Academy of Sciences M. Kharitonievsky Per. 4 101990 Moscow , Russia

Abstract

Abstract Dedicated to the 120th anniversary of the birth of Alexey N. Gerasimov, one of the initiators of Fractional Calculus in Solid Mechanics. In the first part of this survey we provide a brief sketch of his life. In the second part, the scientific contributions of the Soviet mechanician A.N. Gerasimov are reviewed. Editorial Note. In a survey [28] recently published in this journal, Sect. 5, we the authors have mistaken the first name of Alexey Gerasimov with the incorrect name Andrey. This was due to unsuccessful attempts to find it unabbreviated in the available literature and by queries among colleagues. Some Internet sources (in Russian language) gave us the first name of another, also Soviet scientist in Mechanics. We do apologize for this fault.

Publisher

Walter de Gruyter GmbH

Subject

Applied Mathematics,Analysis

Reference29 articles.

1. M. Caputo, Linear models of dissipation whose Q is almost frequency independent-II. Geophys. J. R. Astr. Soc. 13 (1967), 529-539

2. Re-publ. in: Fract. Calc. Appl. Anal. 11, No 1 (2008), 3-14.

3. A.N. Gerasimov, The theory of the lever device for determination of the weight with a constant sensitivity (In Russian). Za obnovleniye textil’noy promyshlennosti No 7 (1932), 22–28.

4. A.N. Gerasimov, The correspondence principle in the theory of linear operators (Graduated work on “Applied Mathematics”, Supervisor I.I. Privalov) (In Russian). Manuscript, Moscow State University, Fac. of Mech. and Math. (1936).

5. A.N. Gerasimov, The problem of the springback and the internal friction (Russian). Prikladnaya Matematika i Mekhanika1, No 4 (1938), 493–536.

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