Analysis of a physically-relevant variable-order time-fractional reaction–diffusion model with Mittag-Leffler kernel

It is known that the well-posedness of time-fractional reaction–diffusion models with Mittag-Leffler kernel usually requires non-physical constraints on initial data. In this paper, we propose a variable-order equation and prove aforementioned could be eliminated by imposing integer limit variable fractional order at time, which mathematically demonstrates physically-relevance modifications.