Approximate analytical solutions of generalized linear and nonlinear reaction–diffusion equations in an infinite domain

2010 ◽  
Vol 374 (6) ◽  
pp. 829-835 ◽  
Author(s):  
S.Z. Rida
Keyword(s):  
Analytical Solutions ◽  
Reaction Diffusion ◽  
Reaction Diffusion Equations ◽  
Diffusion Equations ◽  
Infinite Domain ◽  
Nonlinear Reaction ◽  
Approximate Analytical Solutions ◽  
Linear And Nonlinear

Analytical solutions for the multi-term time-space fractional reaction-diffusion equations on an infinite domain

2015 ◽  
Vol 18 (3) ◽  
Author(s):  
Xiao-Li Ding ◽  
Juan J. Nieto
Keyword(s):  
Analytical Solutions ◽  
Reaction Diffusion ◽  
Reaction Diffusion Equations ◽  
Diffusion Equations ◽  
Infinite Domain ◽  
Time Space ◽  
Special Cases ◽  
Telegraph Equations ◽  
Wave Problems ◽  
Fractional Reaction

AbstractWe consider the analytical solutions of multi-term time-space fractional reaction-diffusion equations on an infinite domain. The results are presented in a compact and elegant form in terms of the Mittag-Leffler functions. The importance of the derived results lies in the fact that numerous results on fractional reaction, fractional diffusion, fractional wave problems, and fractional telegraph equations scattered in the literature can be derived as special cases of the results presented in this paper.

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