22 citations · 92 across the 14 of their papers we have counts for
7 papers · 1 filter
Inversion of the Weighted Spherical Mean
Elina Shishkina
The paper contains the inversion formula for the weighted spherical mean. The interest to reconstruction a function by its integral by sphere grews tremendously in the last six dec…
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…
Fractional powers of Bessel operator and its numerical calculation
Durdimurod Durdiev, Elina Shishkina, Sergei Sitnik
The article discusses the fractional powers of the Bessel operator and their numerical implementation. An extensive literature is devoted to the study of fractional powers of the L…
A Neumann series of Bessel functions representation for solutions of the radial Dirac system
Vladislav V. Kravchenko, Elina L. Shishkina, Sergii M. Torba
A new representation for a regular solution of the radial Dirac system of a special form is obtained. The solution is represented as a Neumann series of Bessel functions uniformly…
A transmutation operator method for solving the inverse quantum scattering problem
Vladislav V. Kravchenko, Elina L. Shishkina, Sergii M. Torba
The inverse quantum scattering problem for the perturbed Bessel equation is considered. A direct and practical method for solving the problem is proposed. It allows one to reduce t…
On two classes of generalized fractional operators (with short historical survey of fractional calculus)
E. L. Shishkina, S. M. Sitnik
This is a survey paper in two parts. In the first part we list main variants of one-dimensional fractional integrodifferential operators. Also some historical and priority remarks…