The fractional Laplacian in R d, which we write as (− Δ) α/2 with α∈(0, 2), has multiple
equivalent characterizations. Moreover, in bounded domains, boundary conditions must be …

In the past few decades, numerous heat conduction models extending beyond Fourier's
have been developed to account for large gradients, fast phenomena, wave propagation …

In this note we present some of the most basic aspects of the fractional Laplacean with a self-
contained and purely didactic intent, and with a somewhat different slant from the several …

These are the handouts of an undergraduate minicourse at the Università di Bari (see Fig.
1), in the context of the 2017 INdAM Intensive Period “Contemporary Research in elliptic …

Dynamics in fractional order systems has been discussed extensively for presenting a
possible guidance in the field of applied mathematics and interdisciplinary science. Within …

Nonlocal Modeling, Analysis, and Computation : Back Matter Page 1 Bibliography [1] L.
ABDELOUHAB, J. BONA, M. FELLAND, AND J.-C. SAUT, Nonlocal models for nonlinear …

We propose two preconditioners based on the fast sine transformation for solving linear
systems with ill-conditioned multilevel Toeplitz structure. These matrices are generated by …

This contribution is concerned with constructing a fractional explicit‐implicit numerical
scheme for solving time‐dependent partial differential equations. The proposed scheme has …

In this article, we introduce a model featuring a Lévy process in a bounded domain with semi-
transparent boundary, by considering the fractional Laplacian operator with lower order non …

A third-order numerical scheme is proposed for solving fractional partial differential
equations (PDEs). The first explicit stage can converge fast, and the second implicit stage is …