A Comment on the Conformable Euler Finite Difference Method
arXiv:2105.10385 · doi:10.3390/mca26040066
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.
arXiv comment4 pages
References in corpus (8)
- No Violation of the Leibniz Rule. No Fractional Derivative
- No Nonlocality. No Fractional Derivative
- The flaw in the conformable calculus: it is conformable because it is not fractional
- On the nature of the conformable derivative and its applications to physics
- Modeling, discretization, and hyperchaos detection of conformable derivative approach to a financial system with market confidence and ethics risk
- Local Fractional Derivatives of Differentiable Functions are Integer-order Derivatives or Zero
- A note on the equivalence of fractional relaxation equations to differential equations with varying coefficients
- Spectral Non-integer Derivative Representations and the Exact Spectral Derivative Discretization Finite Difference Method for the Fokker-Planck Equation