期刊
THERMAL SCIENCE
卷 21, 期 3, 页码 1161-1171出版社
VINCA INST NUCLEAR SCI
DOI: 10.2298/TSCI161216326Y
关键词
heat transfer; fractional derivative of constant; anomalous relaxation; fractional derivative of variable order; fractional differential equation
资金
- State Key Research Development Program of the People's Republic of China [2016YFC0600705]
- Natural Science Foundation of China [51323004]
- Priority Academic Program Development of Jiangsu Higher Education Institutions (PAPD)
In this paper we address a class of the fractional derivatives of constant and variable orders for the first time. Fractional-order relaxation equations of constants and variable orders in the sense of Caputo type are modeled from mathematical view of point. The comparative results of the anomalous relaxation among the various fractional derivatives are also given. They are very efficient in description of the complex phenomenon arising in heat transfer.
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