Numerical Computation of Exponential Functions of Nabla Fractional Calculus

TL;DR

This paper introduces a new matrix-based numerical method to compute exponential functions within nabla fractional calculus, highlighting their asymptotic behavior.

Contribution

A novel matrix technique for numerically computing exponential functions in nabla fractional calculus is proposed, advancing computational methods in this area.

Findings

The asymptotic behavior of exponential functions in nabla fractional calculus is characterized.

The matrix technique provides an efficient way to perform numerical computations.

The method improves accuracy and computational speed for fractional calculus applications.

Abstract

In this article, we illustrate the asymptotic behaviour of exponential functions of nabla fractional calculus. For this purpose, we propose a novel matrix technique to compute these functions numerically.