Existence of positive solution to the Cauchy problem for a fractional diffusion equation with a singular nonlinearity
type: Item
instance of: scholarly article
title: Existence of positive solution to the Cauchy problem for a fractional diffusion equation with a singular nonlinearity
zbMATH Open document ID: 1234.35302
DOI: 10.5402/2012/868295
author: Ailing Shi
author: Shuqin Zhang
published in: ISRN Mathematical Analysis
publication date: 2012-04-03T00:00:00Z
review text: Summary: Fractional diffusion equations describe an anomalous diffusion on fractals. In this paper, by means of the successive approximation method and other analysis technique, we present a local positive solution to Cauchy problem for a fractional diffusion equation with singular nonlinearity. The fractional derivative is described in the Caputo sense.
Mathematics Subject Classification ID: 35R11
Mathematics Subject Classification ID: 35B09
Mathematics Subject Classification ID: 35K57
zbMATH DE Number: 6021211
Wikidata QID: Q58692954
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.5402/2012/868295
OpenAlex ID: W1997726621
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description: scientific article; zbMATH DE number 6021211