We establish a new formula for the fractional derivative with Mittag-Leffler kernel, in the form
of a series of Riemann–Liouville fractional integrals, which brings out more clearly the non …

We present some numerical examples which support numerical results for the time fractional
Burgers equation with various boundary and initial conditions obtained by collocation …

In this paper our aim is to find the solutions of time and space fractional heat differential
equations by using new definition of fractional derivative called conformable fractional …

The major advantage of grey system theory is that both incomplete information and unclear
problems can be processed precisely. Considering that the modeling of grey model U+ 0028 …

In this paper, we propose a generalized Mittag-Leffler quadrature method for solving linear
fractional differential equations with a forcing term. The construction of such a scheme is …

The fractional differential equation has been used to describe many phenomenons in almost
all applied sciences, such as fluid flow in porous materials, anomalous diffusion transport …

In this paper, an efficient numerical method is developed for solving a class of nonlinear
fractional differential equations. The main idea is to transform the nonlinear fractional …

In dieser Arbeit betrachten wir zwei zeitabhängige Probleme–zum einen die fraktionale
Schrödinger-Gleichung auf der reellen Achse, zum anderen die Wellengleichung auf einem …

Analysis in Fractional Calculus and Asymptotics related to Zeta Functions Page 1 Analysis
in Fractional Calculus and Asymptotics related to Zeta Functions Arran Fernandez …