文章基本信息

标题：A generalized model for quantitative analysis of sediments loss: A Caputo time fractional model
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作者：Nadeem Ahmad Sheikh ; Muhammad Jamil ; Dennis Ling Chuan Ching 等
期刊名称：Journal of King Saud University - Science
印刷版ISSN：1018-3647
出版年度：2021
卷号：33
期号：1
页码：1-7
DOI：10.1016/j.jksus.2020.09.006
语种：English
出版社：Elsevier
摘要：AbstractSediment loss is an indispensable geological phenomenon that determines the reduction of mass in time interval with the differential influence of controlling factors. In this study, the competence of rocks is considered as a controlling factor while weathering and erosion are termed as the decaying parameter. Attributed to the reduction of the total mass in unit time. A mathematical model is [proposed for the above-mentioned phenomenon and generalized using the Caputo fractional derivatives approach to better understand and predict the sediment loss. The model is solved for exact solutions using the Laplace transform technique. The results obtained forβand-βare in strong agreement with the field images of selected outcrop sections. The memory effect is also shown with different values ofαThe results revealed that the mathematical model better explains the geological processes.
关键词：Sediment loss;Decaying parameter;Controlling factor;Fractional derivatives;Exact solutions