22 citations · 92 across the 14 of their papers we have counts for
17 papers
Overview of fractional calculus and its computer implementation in Wolfram Mathematica
O. I. Marichev, E. L. Shishkina
In this article we would like to consider some approaches to non-integer integro-differentiations and its implementation in computer algebra system Wolfram Mathematics.
Hornbook of solving problems for mixed parabolic--hyperbolic equations
Elina L. Shishkina, Azamat V. Dzarakhohov
In this small paper, we study a boundary value problem for an equation of parabolic-hyperbolic type. The goal is to show how we can prove existence and uniqueness theorem for a reg…
Inequalities in calculus: methods of prooving results and problem solving
Sergei Sitnik, Elina Shishkina, Lidiya Kovaleva +1
This preprint is a text for students and teachers on inequalities. Some standard topics are covered on application of calculus to inequality proving. Many examples are considered,…
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…