Existence of Positive Solution to the Cauchy Problem for a Fractional Diffusion Equation with a Singular Nonlinearity
Joint Authors
Source
Issue
Vol. 2012, Issue 2012 (31 Dec. 2012), pp.1-9, 9 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2012-03-07
Country of Publication
Egypt
No. of Pages
9
Main Subjects
Abstract EN
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.
American Psychological Association (APA)
Shi, Ailing& Zhang, Shuqin. 2012. Existence of Positive Solution to the Cauchy Problem for a Fractional Diffusion Equation with a Singular Nonlinearity. ISRN Mathematical Analysis،Vol. 2012, no. 2012, pp.1-9.
https://search.emarefa.net/detail/BIM-504746
Modern Language Association (MLA)
Shi, Ailing& Zhang, Shuqin. Existence of Positive Solution to the Cauchy Problem for a Fractional Diffusion Equation with a Singular Nonlinearity. ISRN Mathematical Analysis No. 2012 (2012), pp.1-9.
https://search.emarefa.net/detail/BIM-504746
American Medical Association (AMA)
Shi, Ailing& Zhang, Shuqin. Existence of Positive Solution to the Cauchy Problem for a Fractional Diffusion Equation with a Singular Nonlinearity. ISRN Mathematical Analysis. 2012. Vol. 2012, no. 2012, pp.1-9.
https://search.emarefa.net/detail/BIM-504746
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-504746
