Memory-dependent derivative versus fractional derivative (II): Remodelling diffusion process

作者：

Highlights：

• A new model with memory-dependent derivative (MDD) is constructed for heat diffusion.

• The new MDD model is more reasonable than the other ones.

• It is a misunderstanding that spatial FD model possesses an explicit solution.

摘要

•A new model with memory-dependent derivative (MDD) is constructed for heat diffusion.•The new MDD model is more reasonable than the other ones.•It is a misunderstanding that spatial FD model possesses an explicit solution.

论文关键词：Memory-dependent derivative (MDD),Fractional derivative (FD),Memory effect,Heat conduction equation,Maxwell-Cattaneo model,Time-space diffusion

论文评审过程：Received 5 May 2020, Revised 17 August 2020, Accepted 23 August 2020, Available online 11 September 2020, Version of Record 11 September 2020.

论文官网地址：https://doi.org/10.1016/j.amc.2020.125627