A construction of nonstandard finite difference scheme to fractional differential system

Abstract

In this paper on the nonstandard finite difference technique is proposed to study numerically a fractional differential system. The Grünwald–Letnikov method is used to approximate the fractional derivatives. The model is given by fractional Caputo operator. The numerical results show that numerical solutions are in agree with analytical studies.

Keywords

• Fractional calculus
• Numerical methods
• Fractional differential system.