- 作者：Yingjie Lianga ; b ; Wen Chena ; chenwen@hhu.edu.cn" class="auth_mail" title="E-mail the corresponding author ; Richard L. Maginb ; rmagin@uic.edu" class="auth_mail" title="E-mail the corresponding author
- 关键词：Fractional derivative ; Spectral entropy ; Diffusion equation ; Laplace transform ; Fourier transform ; Long range correlation
- 刊名：Physica A: Statistical Mechanics and its Applications
- 出版年：2016
- 出版时间：1 July 2016
- 年：2016
- 卷：453
- 期：Complete
- 页码：327-335
- 全文大小：637 K
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Laplace transformed fractional diffusion equation is formulated via Fox’s 16002223&_mathId=si38.gif&_user=111111111&_pii=S0378437116002223&_rdoc=1&_issn=03784371&md5=2cb81b80a5508f6895f853f020106e8b" title="Click to view the MathML source">H-function.
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The derived solution is equivalent with the existing Lévy stable solution.
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The overall spectral entropy increases with the decreasing derivative orders 16002223&_mathId=si24.gif&_user=111111111&_pii=S0378437116002223&_rdoc=1&_issn=03784371&md5=3599c504a43c163ba5f4a4a80649702e" title="Click to view the MathML source">α and 16002223&_mathId=si18.gif&_user=111111111&_pii=S0378437116002223&_rdoc=1&_issn=03784371&md5=d0ace26961a516115c66d666c2017541" title="Click to view the MathML source">β.
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Spectral entropy is considered a measure to characterize the complexity of diffusion.