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Dimensional consistency in fractional differential equations with non singular kernels

Mathematical Physics 2026-04-06 v1 math.MP

Abstract

The purpose of this article is to address the issues of dimensional consistency that arise in the process of replacing the ordinary time derivative operator by a fractional derivative operator in order to write a fractional differential equation. We show that by performing a simple change of variables fulfilling certain conditions ensures the consistency in physical dimensions for fractional differential equations with non singular kernels. An example of the proposed method is given.

Keywords

Cite

@article{arxiv.2604.02432,
  title  = {Dimensional consistency in fractional differential equations with non singular kernels},
  author = {Gabriel Gonzalez},
  journal= {arXiv preprint arXiv:2604.02432},
  year   = {2026}
}

Comments

7 pages

R2 v1 2026-07-01T11:51:48.472Z