Analytic solution of generalized space time advection-dispersion equation with fractional Laplace operator | Zendy

Ritu Agarwal | Zendy; Sonal Jain | Zendy; Rishabh Agarwal | Zendy

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Analytic solution of generalized space time advection-dispersion equation with fractional Laplace operator

Author(s) -

Ritu Agarwal,

Sonal Jain,

Rishabh Agarwal

Publication year - 2016

Publication title -

the journal of nonlinear sciences and applications

Language(s) - English

Resource type - Journals

eISSN - 2008-1901

pISSN - 2008-1898

DOI - 10.22436/jnsa.009.06.09

Subject(s) - mathematics , laplace transform , mathematical analysis , advection , dispersion (optics) , operator (biology) , fractional calculus , space (punctuation) , physics , biochemistry , chemistry , linguistics , philosophy , repressor , gene , transcription factor , optics , thermodynamics

The aim of this paper is to investigate the solutions of Time-space fractional advection-dispersion equation with Hilfer composite fractional derivative and the space fractional Laplacian operator. The solution of the equation is obtained by applying the Laplace and Fourier transforms, in terms of Mittag-leffler function. The work by R. K. Saxena (2010) and Haung and Liu (2005) follows as particular case of our results. c ©2016 All rights reserved.

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