Green's function of two-dimensional time-fractional diffusion equation using addition formula of Wright function

2019 ◽  
Vol 30 (4) ◽  
pp. 301-315 ◽  
Author(s):  
Alireza Ansari
Keyword(s):  
Diffusion Equation ◽  
Green’S Function ◽  
Green's Function ◽  
Fractional Diffusion ◽  
Fractional Diffusion Equation ◽  
Two Dimensional ◽  
Wright Function ◽  
Addition Formula ◽  
Time Fractional Diffusion Equation

scholarly journals An inverse source problem for a two dimensional time fractional diffusion equation with involution

2021 ◽  
Author(s):  
Batirkhan Turmetov ◽  
B. J. Kadirkulov
Keyword(s):  
Inverse Problem ◽  
Parabolic Equation ◽  
Diffusion Equation ◽  
Fourier Method ◽  
Dirichlet Condition ◽  
Fractional Diffusion ◽  
Fractional Diffusion Equation ◽  
Inverse Source Problem ◽  
Two Dimensional ◽  
Time Fractional Diffusion Equation

In this paper, we consider a two-dimensional generalization of the parabolic equation. Using the Fourier method, we study the solvability of the inverse problem with the Dirichlet condition and periodic conditions.

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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