We study the inverse problem of determining the right-hand side of a subdiffusion equation
with Riemann–Liouville fractional derivative whose elliptic part has the most general form …

The identification of the right order of the equation in applied fractional modeling plays an
important role. In this paper we consider an inverse problem for determining the order of …

An initial-boundary value problem for a time-fractional subdiffusion equation with an
arbitrary order elliptic differential operator is considered. Uniqueness and existence of the …

Fractional Calculus (FC) was a bright idea of Gottfried Leibniz originating in the end of the
seventeenth century. The topic was developed mainly in a mathematical framework, but …

The book is devoted to the mathematical foundations of nonextensive statistical mechanics.
This is the first book containing the systematic presentation of the mathematical theory and …

As it is known various dynamical processes can be modeled through systems of time-
fractional order pseudo-differential equations. In the modeling process one frequently faces …

This survey describes the method of approximation of operator semigroups, based on the
Chernoff theorem. We outline recent results in this domain as well as clarify relations …

An inverse problem for determining the order of time-fractional derivative in a
nonhomogeneous subdiffusion equation with an arbitrary elliptic differential operator with …

An initial-boundary value problem for a subdiffusion equation with an elliptic operator $ A
(D) $ in $\mathbb {R}^ N $ is considered. The existence and uniqueness theorems for a …

There is by now an extensive and well-developed theory of weak convergence for moving
averages and continuous-time random walks (CTRWs) with respect to Skorokhod's M1 and …