Exponential Euler discrete schemes have been widely employed in the studies of Caputo
fractional order differential equations, but almost no literature concerns the Caputo–Fabrizio …

The paper describes different approaches to generalize the trapezoidal method to fractional
differential equations. We analyze the main theoretical properties and we discuss …

This paper presents a computational technique based on the collocation method and Müntz
polynomials for the solution of fractional differential equations. An appropriate …

In this paper, the pseudo-spectral method is generalized for solving fractional differential
equations with initial conditions. For this purpose, an appropriate representation of the …

The main result obtained in this study is the following operational Tau method based on
Müntz-Legendre polynomials. This method provides a computational technique for obtaining …

We study the global asymptotic ω-periodicity for a fractional-order non-autonomous neural
networks. Firstly, based on the Caputo fractional-order derivative it is shown that ω-periodic …

The present paper illustrates some classes of multivalue methods for the numerical solution
of ordinary and fractional differential equations. In particular, it focuses on two-step and …

The time-fractional Schrödinger equation is a fundamental topic in physics and its numerical
solution is still an open problem. Here we start from the possibility to express its solution by …

This paper addresses the problem of the numerical computation of generalized Mittag–
Leffler functions with two parameters, with applications in fractional calculus. The inversion …

The main aim of this paper is to discuss the generalization of exponential integrators to
differential equations of non-integer orders. Two methods of this kind are devised and the …