Fractional Calculus in Russia at the end of XIX century

TL;DR

This survey explores the development of Fractional Calculus in Russia at the end of the 19th century, highlighting contributions by key mathematicians and uncovering previously unknown results.

Contribution

It provides a comprehensive analysis of Russian fractional calculus developments, including lesser-known results and historical context from the late 1800s.

Findings

Analysis of A.V. Letnikov's work on fractional derivatives

Discussion of N. Ya. Sonine's contributions to fractional integrals

Uncovering previously inaccessible results by P. A. Nekrasov

Abstract

In this survey paper we analyze the development of Fractional Calculus in Russia at the end of XIX century, in particular, the results by A.V.Letnikov, N.Ya.Sonine and P.A.Nekrasov. Some of the discussed results are either unknown or inaccessible.