Green’s function of time fractional diffusion equation and its applications in fractional quantum mechanics

2009 ◽  
Vol 10 (2) ◽  
pp. 1081-1086 ◽  
Author(s):  
Shaowei Wang ◽  
Mingyu Xu ◽  
Xicheng Li
Keyword(s):  
Quantum Mechanics ◽  
Diffusion Equation ◽  
Green’S Function ◽  
Green's Function ◽  
Fractional Diffusion ◽  
Fractional Diffusion Equation ◽  
Fractional Quantum ◽  
Time Fractional Diffusion Equation

On the equivalence of two representations of Green's function of first boundary value problem for fractional-order diffusion equation

2020 ◽  
Vol 20 (2) ◽  
pp. 12-15
Author(s):  
F.G. Khushtova ◽  
Keyword(s):  
Diffusion Equation ◽  
Boundary Value Problem ◽  
Green’S Function ◽  
Fractional Order ◽  
Green's Function ◽  
Boundary Value ◽  
Fractional Diffusion ◽  
Fractional Diffusion Equation

In this paper, the equivalence of two forms of representations of the Green's function of the first boundary value problem for the fractional diffusion equation is proved.

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