Analytical Solution of the Time Fractional Fokker-Planck Equation
| Autor: | T. Sutradhar, B. K. Datta, R. K. Bera |
|---|---|
| Jazyk: | angličtina |
| Rok vydání: | 2014 |
| Předmět: |
Fluid Flow and Transfer Processes
Electromagnetics Viscoplasticity Differential equation fokker-planck equation Mechanics of engineering. Applied mechanics Relaxation (iterative method) Transportation TA349-359 fractional calculus Fractional calculus fractional differential equation Applied mathematics Fokker–Planck equation Decomposition method (constraint satisfaction) adomian decomposition method Adomian decomposition method Civil and Structural Engineering Mathematics |
| Zdroj: | International Journal of Applied Mechanics and Engineering, Vol 19, Iss 2, Pp 435-440 (2014) |
| ISSN: | 1734-4492 |
| Popis: | Recently, a great deal of interest has been focused on Adomian’s Decomposition Method (ADM) and its applications to a wide class of physical problems containing fractional derivatives (Rida and Sherbiny, 2008; Saha Ray et al., 2008; Datta, 2007; Kaya, 2006; Jiang, 2005; Sutradhar, 2009). The decomposition method employed here is adequately discussed in the published literature (Wazwaz, 2002; Adomian, 1994; Ngarhasta et al. 2002), but it still deserves emphasis to point out the very significant advantages over other methods. The said method can also be an effective procedure for the solution of the time fractional Fokker-Planck equation by suitable choice of drift and fluctuation term. The fractional differential equations have been used to model many physical and engineering processes such as frequency dependent damping behaviour of materials, motion of a large thin plate in a Newtonian fluid, creep and relaxation function for viscoelastic materials, etc. (Suarez and Shokooh, 1997; Glockle and Nonnenmacher, 1991). Moreover, phenomena in electromagnetics, acoustics, viscoplasticity, electrochemistry are also described by differential equations of fractional order (Podlubny, 1999; Shawagfeh, 2002). |
| Databáze: | OpenAIRE |
| Externí odkaz: |
|