22 citations · 67 across the 9 of their papers we have counts for
10 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…
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…
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…
Applications of integral transforms composition method (ITCM) to wave-type singular differential equations and index shift transmutations
Ahmed Fitouhi, Inèss Jebabli, Elina L. Shishkina +1
In the paper we study applications of integral transforms composition method (ITCM) for obtaining transmutations via integral transforms. It is possible to derive wide range of tra…