Generalized distributed order diffusion equations with composite time fractional derivative (CROSBI ID 262541)
Prilog u časopisu | izvorni znanstveni rad | međunarodna recenzija
Podaci o odgovornosti
Sandev, Trifce ; Tomovski, Zivorad ; Crnkovic, Bojan
engleski
Generalized distributed order diffusion equations with composite time fractional derivative
In this paper we investigate the solution of generalized distributed order diffusion equations with composite time fractional derivative by using the Fourier-Laplace transform method. We represent solutions in terms of infinite series in Fox H-functions. The fractional and second moments are derived by using Miitag-Leffler function. Generalized uniformly distributed order diffusion equation is analysed by using Tauberian theorem. Some previously obtained results are special cases of those presented in this paper.
Diffusion equation ; Fractional derivative ; Anomalous diffusion ; Mittag-Leffler function ; Fox H-function
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Podaci o izdanju
73 (6)
2017.
1028-1040
objavljeno
0898-1221
1873-7668
10.1016/j.camwa.2016.07.009