We deal with a class of semilinear nonlocal differential equations in Hilbert spaces which is
a general model for some anomalous diffusion equations. By using the theory of integral …

In this work, we prove a nonlocal Halanay inequality with an exact decay rate. This enables
us to analyze behavior of solutions to some classes of nonlocal ODEs and PDEs involving …

In this paper, we investigate a source identification problem for a class of abstract nonlocal
differential equations in separable Hilbert spaces. The existence of mild solutions and strong …

The final value problem governed by Rayleigh-Stokes type equations is investigated in the
circumstance that the nonlinearity function may take values in Hilbert scales of negative …

We deal with the problem of identifying a source term in the Rayleigh-Stokes type equation
with a nonlinear perturbation, where the nonlinearity may have a superlinear growth and the …

We analyze the dissipativity and stability of solutions to a class of semilinear anomalous
diffusion equations involving delays. The existence of absorbing set, the stability, and weak …

We study existence, uniqueness and regularity properties of classical solutions to viscous
Hamilton–Jacobi equations with Caputo time-fractional derivative. Our study relies on a …

Our goal is to establish some sufficient conditions for the solvability of the nonlocal final
value problem involving a class of partial differential equations, which describes the …

We are concerned with the final value problem governed by a class of semilinear
anomalous diffusion equations, where the nonlinearity may take values in Hilbert scales with …

ON THE TIME-DELAYED ANOMALOUS DIFFUSION EQUATIONS WITH NONLOCAL
INITIAL CONDITIONS Nguyen Thi Van Anh Bui Thi Hai Yen (Communica Page 1 …