On the fractional Harry Dym equation

被引:0
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作者
Felix S. Costa
Junior C. A. Soares
Adrian R. G. Plata
Edmundo C. de Oliveira
机构
[1] DEMATI,Department of Mathematics
[2] State University of Maranhão,Department of Mathematics
[3] UEMA,Department of Mathematics
[4] State University of Mato Grosso,Department of Applied Mathematics
[5] Universidad Militar Nueva Granada,undefined
[6] Imecc-Unicamp,undefined
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关键词
Fractional nonlinear differential equation; Caputo derivatives; Similarity reductions; Anomalous diffusion; Wave equation; Wavefronts; Primary 33E20; Secondary 26A33;
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学科分类号
摘要
We present and discuss the general case of a fractional nonlinear partial differential equation using similarity reductions and recover results associated with Harry Dym-type equations. Particular cases are discussed and some plots illustrate the results. The fractional derivative is considered in the Caputo sense.
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页码:2862 / 2876
页数:14
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