The theory of ill-posed problems originated in an unusual way. As a rule, a new concept is a
subject in which its creator takes a keen interest. The concept of ill-posed problems was …

This book lays the foundations for a theory on almost periodic stochastic processes and their
applications to various stochastic differential equations, functional differential equations with …

This study aims to investigate some theoretical results, numerical study and a real-word
application of the SFGLE, involving the fractional Laplacian. First, we describe the …

In this paper, we investigate inverse source problems for a wide range of PDEs of parabolic
and hyperbolic types as well as time-fractional evolution equations by partial interior …

We consider reaction-diffusion equations that are stochastically forced by a small
multiplicative noise term. We show that spectrally stable traveling wave solutions to the …

This book, which is a continuation of Almost Automorphic Type and Almost Periodic Type
Functions in Banach Spaces, presents the recent trends and developments upon fractional …

Inspired by applications, we consider reaction–diffusion equations on R that are
stochastically forced by a small multiplicative noise term that is white in time, coloured in …

We consider reaction-diffusion equations that are stochastically forced by a small
multiplicative noise term. We show that spectrally stable traveling wave solutions to the …

In this paper we consider some fundamental properties of a new type of nonlocal reaction-
diffusion equation originally proposed a few years ago in NJ Armstrong, KJ Painter, and JA …

The principle of convergence stability for geometric flows is the combination of the
continuous dependence of the flow on initial conditions, with the stability of fixed points. It …