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Mathematical Methods in the Applied Sciences
Article . 2018 . Peer-reviewed
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Fundamental solutions of the general fractional‐order diffusion equations

descriptionPublicationkeyboard_double_arrow_right Article , Journal 29 Nov 2018Publisher:WileyJournal:Mathematical Methods in the Applied Sciences, volume 41, pages 9,312-9,320 (issn: 0170-4214, eissn: 1099-1476, Copyright policy )
Authors: Hongwei Zhou; Feng Gao; Yang Ju; Xiao-Jun Yang; Xiao-Jun Yang;

doi: 10.1002/mma.5341

Fundamental solutions of the general fractional‐order diffusion equations

Abstract

In this article, the general fractional‐order diffusion equations within the negative Prabhakar kernel are considered for the first time. With the aid of the Laplace transform, the series solutions for the problems with the general Mittag‐Leffler functions are discussed in detail. The obtained results are efficient in the description of the anomalous behaviors of the diffusive process.

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citations
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
91
Top 1%
Top 10%
Top 1%
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