Over the last two decades, anomalous diffusion processes in which the mean squares
variance grows slower or faster than that in a Gaussian process have found many …

Fractional differential equations (FDES), ie, differential equations involving fractional-order
derivatives, have received much recent attention in engineering, physics, biology and …

This book presents the main results and methods on inverse spectral problems for Sturm-
Liouville differential operators and their applications. Inverse problems of spectral analysis …

Inverse problems of spectral analysis consist in recovering operators from their spectral
characteristics. Such problems often appear in mathematics, mechanics, physics …

We provide a comprehensive analysis of matrix–valued Herglotz functions and illustrate
their applications in the spectral theory of self–adjoint Hamiltonian systems including matrix …

We discuss results where the discrete spectrum (or partial information on the discrete
spectrum) and partial information on the potential $ q $ of a one-dimensional Schrödinger …

We study an inverse problem of recovering a spatially varying potential term in a one-
dimensional time-fractional diffusion equation from the flux measurements taken at a single …

We continue the study of the A-amplitude associated to a half-line Schrodinger operator,-
d2/dx2+ q in L2 ((0, b)), b≤∞. A is related to the Weyl-Titchmarsh m-function via m (-κ2)=-κ …

We explicitly determine the high-energy asymptotics for Weyl–Titchmarsh matrices
associated with general Dirac-type operators on half-lines and on $\mathbb {R} $. We also …

We discuss results where information on parts of the discrete spectra of onedimensional
Schrödinger operators H=− d 2 dx2+ q in L2 ((0, 1)) or of a finite Jacobi matrix together with …