Journal
APPLIED MATHEMATICS LETTERS
Volume 124, Issue -, Pages -Publisher
PERGAMON-ELSEVIER SCIENCE LTD
DOI: 10.1016/j.aml.2021.107617
Keywords
Space-fractional diffusion equation; Hidden memory; Variably distributed-order fractional derivate; Wellposedness
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Funding
- National Natural Science Foundation of China [11971272, 12001337]
- Natural Science Foundation of Shandong Province, China [ZR2019BA026]
- Army Research Office MURI, United States Grant [W911NF-15-1-0562]
- National Science Foundation, United States [DMS-2012291]
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The study demonstrates the wellposedness of a space-fractional diffusion equation governed by a hidden memory variably distributed-order fractional derivative, providing a competitive way to describe the historical memory property of anomalous diffusive transport of solutes in heterogeneous porous media.
We prove the wellposedness of a space-fractional diffusion equation governed by a hidden memory variably distributed-order fractional derivative, which provides a competitive means to describe the history memory property of anomalous diffusive transport of solutes in heterogeneous porous media. (C) 2021 Elsevier Ltd. All rights reserved.
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