Journal
THERMAL SCIENCE
Volume 16, Issue 2, Pages 339-342Publisher
VINCA INST NUCLEAR SCI
DOI: 10.2298/TSCI110503070W
Keywords
fractional complex transform; modified Riemann-Liouville derivative; time-fractional heat conduction equation; anomalous heat conduction
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Funding
- Priority Academic Program Development of Jiangsu Higher Education Institutions
- National Natural Science Foundation of China [11061028, 50806011]
- Natural Science Foundation of Yunnan Province [2010CD086]
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Time-fractional differential equations can accurately describe heat conduction in fractal media, such as wool fibers, goose down and polar bear hair. The fractional complex transform is used to convert time-fractional heat conduction equations with the modified Riemann-Liouville derivative into ordinary differential equations, and exact solutions can be easily obtained. The solution process is straightforward and concise.
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