Open AccessNumerical study for systems of fractional differential equations via Laplace transform
Author(s) -
Sumit Gupta,
Devendra Kumar,
Jagdev Singh
Publication year - 2015
Publication title -
journal of the egyptian mathematical society
Language(s) - English
Resource type - Journals
eISSN - 2090-9128
pISSN - 1110-256X
DOI - 10.1016/j.joems.2014.04.003
Subject(s) - mathematics , homotopy analysis method , laplace transform , laplace transform applied to differential equations , fractional calculus , convergent series , mathematical analysis , mellin transform , inverse laplace transform , differential equation , two sided laplace transform , power series , homotopy , fractional fourier transform , fourier transform , pure mathematics , fourier analysis
In this paper, we propose a numerical algorithm for solving system of fractional differential equations by using the homotopy analysis transform method. The homotopy analysis transform method is the combined form of the homotopy analysis method and Laplace transform method. The solutions of our modeled equations are calculated in the form of convergent power series with easily computable components. The numerical results shows that the approach is easy to implement and accurate when applied to various fractional differential equations