Pregled bibliografske jedinice broj: 992694
Generalized distributed order diffusion equations with composite time fractional derivative
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 (međunarodna recenzija, članak, znanstveni)
CROSBI ID: 992694 Za ispravke kontaktirajte CROSBI podršku putem web obrasca
Naslov
Generalized distributed order diffusion equations
with composite time fractional derivative
Autori
Sandev, Trifce ; Tomovski, Zivorad ; Crnkovic, Bojan
Izvornik
Computers & mathematics with applications (0898-1221) 73
(2017), 6;
1028-1040
Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni
Ključne riječi
Diffusion equation ; Fractional derivative ; Anomalous diffusion ; Mittag-Leffler function ; Fox H-function
Sažetak
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.
Izvorni jezik
Engleski
Znanstvena područja
Matematika
POVEZANOST RADA
Ustanove:
Sveučilište u Rijeci, Fakultet za matematiku
Citiraj ovu publikaciju:
Časopis indeksira:
- Current Contents Connect (CCC)
- Web of Science Core Collection (WoSCC)
- Science Citation Index Expanded (SCI-EXP)
- SCI-EXP, SSCI i/ili A&HCI
- Scopus
