The object of this paper is to present the exact solution of the fractional Cattaneo equation for describing anomalous diffusion. The classical Cattaneo model has been generalised to the space-time fractional Cattaneo model. The method of the joint Laplace and Fourier transform is used in deriving t
Rational Solutions for the Time-Fractional Diffusion Equation
โ Scribed by Atkinson, Colin; Osseiran, Adel
- Book ID
- 115454468
- Publisher
- Society for Industrial and Applied Mathematics
- Year
- 2011
- Tongue
- English
- Weight
- 264 KB
- Volume
- 71
- Category
- Article
- ISSN
- 0036-1399
No coin nor oath required. For personal study only.
๐ SIMILAR VOLUMES
a b s t r a c t Fractional differential equations have recently been applied in various area of engineering, science, finance, applied mathematics, bio-engineering and others. However, many researchers remain unaware of this field. In this paper, an efficient numerical method for solving the fractio
In this paper, we investigate the solutions for a generalized fractional diffusion equation that extends some known diffusion equations by taking a spatial time-dependent diffusion coefficient and an external force into account, which subjects to the natural boundaries and the generic initial condit