A Comment on the Conformable Euler Finite Difference Method

Abstract

A method, recently advanced as the conformable Euler method, a general method for the finite difference discretization of fractional initial value problems for fractions in (0, 1], is shown to be valid only for the integer derivative. The property of the conformable fractional derivative used to show this limitation of the method is used, together with the integer definition of the derivative, to derive a modified conformable Euler method for the initial value problem considered.

4 pages

References in corpus (2)

• Modeling, discretization, and hyperchaos detection of conformable derivative approach to a financial system with market confidence and ethics risk
• Spectral Non-integer Derivative Representations and the Exact Spectral Derivative Discretization Finite Difference Method for the Fokker-Planck Equation