CLASSICAL, NONLOCAL, AND FRACTIONAL DIFFUSION EQUATIONS ON BOUNDED DOMAINS

2011 ◽  
Vol 9 (6) ◽  
pp. 661-674 ◽  
Author(s):  
Nathanial Burch ◽  
Richard Lehoucq
Keyword(s):  
Fractional Diffusion ◽  
Diffusion Equations ◽  
Bounded Domains ◽  
Fractional Diffusion Equations

scholarly journals Fractional Diffusion on Bounded Domains

2015 ◽  
Vol 18 (2) ◽  
Author(s):  
Ozlem Defterli ◽  
Marta D’Elia ◽  
Qiang Du ◽  
Max Gunzburger ◽  
Rich Lehoucq ◽  
...  
Keyword(s):  
Differential Equation ◽  
Boundary Conditions ◽  
Diffusion Theory ◽  
Fractional Diffusion ◽  
Diffusion Equations ◽  
Nonlocal Diffusion ◽  
Bounded Domains ◽  
Fractional Diffusion Equations ◽  
Fractional Differential ◽  
Well Posed

AbstractThe mathematically correct specification of a fractional differential equation on a bounded domain requires specification of appropriate boundary conditions, or their fractional analogue. This paper discusses the application of nonlocal diffusion theory to specify well-posed fractional diffusion equations on bounded domains.

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