A New Adjustment of Laplace Transform for Fractional Bloch Equation in NMR Flow

Authors

Sunil Kumar, National Institute of Technology
Devendra Kumar, Jagan Nath Gupta Institute of Engineering &Technology
U. S. Mahabaleshwar, Government First Grade College for Women

Abstract

This work purpose suggest a new analytical technique called the fractional homotopy analysis transform method (FHATM) for solving time fractional Bloch NMR (nuclear magnetic resonance) flow equations, which are a set of macroscopic equations that are used for modeling nuclear magnetization as a function of time. The true beauty of this article is the coupling of the homotopy analysis method and the Laplace transform method for systems of fractional differential equations. The solutions obtained by the proposed method indicate that the approach is easy to implement and computationally very attractive.

Recommended Citation

Kumar, Sunil; Kumar, Devendra; and Mahabaleshwar, U. S. (2014). A New Adjustment of Laplace Transform for Fractional Bloch Equation in NMR Flow, Applications and Applied Mathematics: An International Journal (AAM), Vol. 9, Iss. 1, Article 13.
Available at: https://digitalcommons.pvamu.edu/aam/vol9/iss1/13