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- Title
Fractional advection-dispersion equation described by the Caputo left generalized fractional derivative.
- Authors
Sene, Ndolane
- Abstract
In this paper, we study the existence and the uniqueness of the fractional advectiondispersion equation described by the Caputo-Liouville generalized fractional derivative. We propose the approximates solutions of the fractional advection-dispersion equations represented by the Caputo-Liouville generalized fractional derivative. We use the homotopy perturbation -Laplace transforms method for getting the approximates solutions of the fractional advectiondispersion equations. We solve several examples of the fractional advection-dispersion equations under particular boundary conditions. We finish by analyzing the behaviors generated by the orders α and p in the diffusion processes.
- Subjects
ADVECTION-diffusion equations; DIFFUSION processes; EQUATIONS
- Publication
Palestine Journal of Mathematics, 2021, Vol 10, Issue 2, p562
- ISSN
2219-5688
- Publication type
Article