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: 44A
Subject:
Differential equations with singularities and of fractional order, potential theory,
differential equations in probability theory,
fractional calculus, special functions
Main publications:
Lyakhov L. N., Shishkina E. L., “Generalized Riesz B-Potentials of the Mixed Type”, Doklady Mathematics, 73:1 (2006), 42–45; Original Russian Text: L. N. Lyakhov, E. L. Shishkina, Doklady Akademii Nauk, 406:3 (2006), 303–307
Shishkina E. L., “Weighting Distribution $r^\lambda$”, Proceeding of Voronezh State University Series: Phisics, Mathematics, 2006, № 1, 215–221
Lyakhov L. N., Shishkina E. L., “General B-Hypersingular Integrals with Homogeneous Characteristic”, Doklady Mathematics, 75:1 (2007), 39–43; Original Russian Text: L. N. Lyakhov, E. L. Shishkina, Doklady Akademii Nauk, 412:2 (2007), 162–166
Sitnik S.M., Shishkina E.L., “On fractional powers of Bessel operators on half-axes”, Siberian Electronic Mathematical Reports, 2018, № 15, 1–10
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