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High-order fractional partial differential equation transform for molecular surface construction

Langhua HuDuan ChenGuo-Wei Wei — 2013

Molecular Based Mathematical Biology

Fractional derivative or fractional calculus plays a significant role in theoretical modeling of scientific and engineering problems. However, only relatively low order fractional derivatives are used at present. In general, it is not obvious what role a high fractional derivative can play and how to make use of arbitrarily high-order fractional derivatives. This work introduces arbitrarily high-order fractional partial differential equations (PDEs) to describe fractional hyperdiffusions. The fractional...

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