An improved meshless method for solving two-dimensional distributed order time-fractional diffusion-wave equation with error estimate

2016 ◽  
Vol 75 (1) ◽  
pp. 173-211 ◽  
Author(s):  
Mostafa Abbaszadeh ◽  
Mehdi Dehghan
Keyword(s):  
Wave Equation ◽  
Error Estimate ◽  
Meshless Method ◽  
Fractional Diffusion ◽  
Two Dimensional ◽  
Diffusion Wave ◽  
Distributed Order

scholarly journals Subordination in a class of generalized time-fractional diffusion-wave equations

2018 ◽  
Vol 21 (4) ◽  
pp. 869-900 ◽  
Author(s):  
Bazhlekova Emilia
Keyword(s):  
Wave Equation ◽  
Wave Equations ◽  
Fractional Diffusion ◽  
Bernstein Function ◽  
Present Survey ◽  
Diffusion Wave ◽  
Survey Paper ◽  
Completely Monotone ◽  
Generalized Time ◽  
Distributed Order

Abstract Motivated by recently proposed generalizations of the diffusion-wave equation with the Caputo time fractional derivative of order α ∈ (1, 2), in the present survey paper a class of generalized time-fractional diffusion-wave equations is introduced. Its definition is based on the subordination principle for Volterra integral equations and involves the notion of complete Bernstein function. Various members of this class are surveyed, including the distributed-order time-fractional diffusion-wave equation and equations governing wave propagation in viscoelastic media with completely monotone relaxation moduli.

scholarly journals An implicit MLS meshless method for 2-D time dependent fractional diffusion–wave equation

2015 ◽  
Vol 39 (3-4) ◽  
pp. 1229-1240 ◽  
Author(s):  
J.Y. Yang ◽  
Y.M. Zhao ◽  
N. Liu ◽  
W.P. Bu ◽  
T.L. Xu ◽  
...  
Keyword(s):  
Wave Equation ◽  
Meshless Method ◽  
Fractional Diffusion ◽  
Time Dependent ◽  
Diffusion Wave
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