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 …

The nonlocal boundary value problem, dt ρ u (t)+ A u (t)= f (t)(0< ρ< 1, 0< t≤ T), u (ξ)= α u
(0)+ φ (α is a constant and 0< ξ≤ T), in an arbitrary separable Hilbert space H with the …

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 …

The time-dependent source identication problem for the Schrödinger equation of fractional
order (,),, in a Hilbert space is investigated. Here is a self-adjoint positive operator, is the …

An inverse problem for determining the order of the Caputo time-fractional derivative in a
subdiffusion equation with an arbitrary positive self-adjoint operator A with discrete spectrum …

The goal of this work is to study the existence and uniqueness of the solution to a nonlocal
boundary value problem for a degenerate differential equation of mixed type. A parabolic …

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 …

In this survey we consider two fractional-order discrete state-space models of linear systems.
In both cases the crucial elements are the fundamental matrices. The difference between …