scholarly journals Weak solutions and convergence of the Galerkin method for the fractional diffusion equation

2015 ◽  
pp. 32-39
Author(s):  
A.L. Hulianytskyi ◽  
Keyword(s):  
Diffusion Equation ◽  
Galerkin Method ◽  
Weak Solutions ◽  
Fractional Diffusion ◽  
Fractional Diffusion Equation ◽  
The Galerkin Method

NONEXISTENCE OF SOLUTIONS RESULTS FOR CERTAIN FRACTIONAL DIFFERENTIAL EQUATIONS

2011 ◽  
Vol 16 (3) ◽  
pp. 488-497
Author(s):  
Mohamed Berbiche
Keyword(s):  
Differential Equations ◽  
Diffusion Equation ◽  
Fractional Differential Equations ◽  
Weak Solutions ◽  
Sufficient Conditions ◽  
Fractional Diffusion ◽  
Fractional Diffusion Equation ◽  
Convective Term ◽  
Nonexistence Of Solutions ◽  
Fractional Differential

This paper is meant to establish sufficient conditions for the nonexistence of weak solutions to nonlinear fractional diffusion equation in space and time with nonlinear convective term. The Fujita exponent is determined.

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