A Comment on the Conformable Euler Finite Difference Method

A Comment on the Conformable Euler Finite Difference Method

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 sho...

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Veröffentlicht in:arXiv.org 2021-05
1. Verfasser: Clemence-Mkhope, D P
Format: Artikel
Sprache:eng
Schlagworte:
Boundary value problems
Finite difference method
Integers
Mathematical analysis
Mathematics - General Mathematics
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Zusammenfassung: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.
ISSN:2331-8422
DOI:10.48550/arxiv.2105.10385