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Generalized distributed order diffusion equations with composite time fractional derivative (CROSBI ID 262541)

Prilog u časopisu | izvorni znanstveni rad | međunarodna recenzija

Sandev, Trifce ; Tomovski, Zivorad ; Crnkovic, Bojan Generalized distributed order diffusion equations with composite time fractional derivative // Computers & mathematics with applications, 73 (2017), 6; 1028-1040. doi: 10.1016/j.camwa.2016.07.009

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

Povezanost rada

Matematika

Poveznice
Indeksiranost