22 citations · 46 across the 4 of their papers we have counts for
4 papers
Transmutation Method and Boundary-Value Problems for Singular Elliptic Equations
Valeriy V. Katrakhov, Sergey M. Sitnik
The main content of this text is composed from the two doctoral dissertations of V.\,V.~Katrakhov (1989) and S.\,M.~Sitnik (2016). Apart from a detailed review and bibliography the…
The explicit formula for solution of anomalous diffusion equation in the multi-dimensional space
Durdimurod Durdiev, Elina Shishkina, Sergei Sitnik
This paper intends on obtaining the explicit solution of -dimensional anomalous diffusion equation in the infinite domain with non-zero initial condition and vanishing condition…
Solution to the fractional equation with left-sided fractional Bessel derivatives of Gerasimov-Caputo type
Elina Shishkina, Sergey Sitnik
In the article we propose and study a method to solve ordinary differential equations with left-sided fractional Bessel derivatives on semi-axes of Gerasimov-Caputo type. We derive…
On fractional powers of Bessel operators
E. L. Shishkina, S. M. Sitnik
This paper was published in the special issue of the Journal of Inequalities and Special Functions dedicated to Professor Ivan Dimovski's contributions to different fields of mathe…