The analytical solution and numerical solution of the fractional diffusion-wave equation with damping

2012 ◽  
Vol 219 (4) ◽  
pp. 1737-1748 ◽  
Author(s):  
J. Chen ◽  
F. Liu ◽  
V. Anh ◽  
S. Shen ◽  
Q. Liu ◽  
...  
Keyword(s):  
Wave Equation ◽  
Analytical Solution ◽  
Numerical Solution ◽  
Fractional Diffusion ◽  
Diffusion Wave

scholarly journals FUNGSI WRIGHT SEBAGAI SOLUSI ANALITIK PERSAMAAN DIFUSI-GELOMBANG FRAKSIONAL PADA MEDIA VISKOELASTIS

2020 ◽  
Vol 3 (1) ◽  
pp. 19-33
Author(s):  
Ray Novita Yasa ◽  
Agus Yodi Gunawan
Keyword(s):  
Wave Equation ◽  
Analytical Solution ◽  
Fractional Derivative ◽  
Wave Equations ◽  
Equations Of Motion ◽  
Fractional Diffusion ◽  
Form Solution ◽  
Wright Function ◽  
Diffusion Wave ◽  
Viscoelastic Media

A fractional diffusion-wave equations in a fractional viscoelastic media can be constructed by using equations of motion and kinematic equations of viscoelasticmaterial in fractional order. This article concerns the fractional diffusion-wave equations in the fractional viscoelastic media for semi-infinite regions that satisfies signalling boundary value problems. Fractional derivative was used in Caputo sense. The analytical solution of the fractional diffusion-wave equation in the fractional viscoelastic media was solved by means of Laplace transform techniques in the term of Wright function for simple form solution. For general parameters, Numerical Inverse Laplace Transforms (NILT) was used to determine the solution.

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