Abstract Physics-Informed Neural Networks (PINNs) have been widely used for solving
partial differential equations (PDEs) of different types, including fractional PDEs …

Topological insulators (TIs) are renowned for their remarkable electronic properties:
quantized bulk Hall and edge conductivities, and robust edge wave-packet propagation …

In recent years, fuzzy and fractional calculus are utilized for simulating complex models with
uncertainty and memory effects. This study is focused on fuzzy-fractional modeling of (2+ 1) …

The vibrational frequencies of beams with uniform cross-sections are easily derived from the
analytical solutions of the Euler-Bernoulli equation (EBE). However, for beams with non …

In this article, we deal with the efficient computation of the Wright function in the cases of
interest for the expression of solutions of some fractional differential equations. The …

In this paper, we consider the numerical inverse Laplace transform for distributed order time-
fractional equations, where a discontinuous Galerkin scheme is used to discretize the …

We discuss a method which provides accurate numerical solutions to fractional-in-time
partial differential equations posed on [0, T]× Ω with Ω⊂ R d without the excessive memory …

In this paper we discuss a projection model order reduction method for a class of parametric
linear evolution PDEs, which is based on the application of the Laplace transform. The main …

We present an exponentially convergent numerical method to approximate the solution of
the Cauchy problem for the inhomogeneous fractional differential equation with an …

In this paper, we generalize a powered Gronwall inequality with two variables, ie so-called
powered Wendroff inequality. We get the recursive estimate and boundedness of its …