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Shishkina Elina Leonidovna
Shishkina Elina Leonidovna
Associate professor
Doctor of physico-mathematical sciences (2019)

Speciality: 01.01.02 (Differential equations, dynamical systems, and optimal control)
Birth date: 26.11.1980
E-mail: ,
Keywords: potential type operators, fractional differentiation, weighted singular integrals, besselian operator, weight class of functions, fractional derivatives, fractional integrals.
UDC: 517.954, 517.958, 517.968, 517.983.34
MSC: 44 A

Subject:

Differential equations with singularities and of fractional order, potential theory, differential equations in probability theory, fractional calculus, special functions


Main publications:
  1. Lyakhov L. N., Shishkina E. L., “Generalized Riesz B-Potentials of the Mixed Type”, Doklady Mathematics, 73:1 (2006), 42–45  crossref  mathscinet  zmath; Original Russian Text: L. N. Lyakhov, E. L. Shishkina, Doklady Akademii Nauk, 406:3 (2006), 303–307  mathscinet  zmath
  2. Shishkina E. L., “Weighting Distribution $r^\lambda$”, Proceeding of Voronezh State University Series: Phisics, Mathematics, 2006, № 1, 215–221
  3. Lyakhov L. N., Shishkina E. L., “General B-Hypersingular Integrals with Homogeneous Characteristic”, Doklady Mathematics, 75:1 (2007), 39–43  crossref  mathscinet; Original Russian Text: L. N. Lyakhov, E. L. Shishkina, Doklady Akademii Nauk, 412:2 (2007), 162–166  mathscinet
  4. Sitnik S.M., Shishkina E.L., “On fractional powers of Bessel operators on half-axes”, Siberian Electronic Mathematical Reports, 2018, № 15, 1–10
  5. Shishkina E.L., Sitnik S.M., “General form of the Euler–Poisson–Darboux equation and application of the transmutation method”, Electronic Journal of Differential Equations, 2017, № 177, 1–20

Publications

Talks and lectures

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