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MedLine Citation:
PMID:  23626377     Owner:  NLM     Status:  Publisher    
Pearson diffusions are governed by diffusion equations with polynomial coefficients. Fractional Pearson diffusions are governed by the corresponding time-fractional diffusion equation. They are useful for modeling sub-diffusive phenomena, caused by particle sticking and trapping. This paper provides explicit strong solutions for fractional Pearson diffusions, using spectral methods. It also presents stochastic solutions, using a non-Markovian inverse stable time change.
Nikolai N Leonenko; Mark M Meerschaert; Alla Sikorskii
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Publication Detail:
Journal Detail:
Title:  Journal of mathematical analysis and applications     Volume:  403     ISSN:  0022-247X     ISO Abbreviation:  J Math Anal Appl     Publication Date:  2013 Jul 
Date Detail:
Created Date:  2013-4-29     Completed Date:  -     Revised Date:  -    
Medline Journal Info:
Nlm Unique ID:  9890562     Medline TA:  J Math Anal Appl     Country:  -    
Other Details:
Languages:  ENG     Pagination:  532-546     Citation Subset:  -    
Cardiff School of Mathematics, Cardiff University, Senghennydd Road, Cardiff CF24 4YH, UK, , URL :
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