Abstract
In this paper, a space-time fractional partial differential equation, obtained from the standard partial differential equation by replacing the second order space-derivative by a fractional derivative of order β > 0 and the first order time-derivative by a fractional derivative of order α > 0 has been recently treated by a number of authors. A time fractional advection-dispersion equation is obtained from the standard advection-dispersion equation by replacing the first order derivative in time by a fractional derivative in time of order α (0 < α ≤ 1). In the present paper, the solution of the analytical dispersion equation is derived using Laplace-Adomian Decomposition Method (LADM). This method has higher convergences as the solutions both of fractional order and integral are obtained in the form of series. In this method the Caputo derivatives are used to define fractional order derivatives. To confirm validity of this method illustrative examples are given.
Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
