Analysis of a physically-relevant variable-order time-fractional reaction–diffusion model with Mittag-Leffler kernel
Applied Mathematics Letters, ISSN: 0893-9659, Vol: 112, Page: 106804
2021
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Article Description
It is known that the well-posedness of time-fractional reaction–diffusion models with Mittag-Leffler kernel usually requires non-physical constraints on the initial data. In this paper, we propose a variable-order time-fractional reaction–diffusion equation with Mittag-Leffler kernel and prove that the aforementioned constraints could be eliminated by imposing the integer limit of the variable fractional order at the initial time, which mathematically demonstrates the physically-relevance of the variable-order modifications.
Bibliographic Details
http://www.sciencedirect.com/science/article/pii/S0893965920304080; http://dx.doi.org/10.1016/j.aml.2020.106804; http://www.scopus.com/inward/record.url?partnerID=HzOxMe3b&scp=85092626495&origin=inward; https://linkinghub.elsevier.com/retrieve/pii/S0893965920304080; https://dx.doi.org/10.1016/j.aml.2020.106804
Elsevier BV
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