Numerical study for systems of fractional differential equations via Laplace transform

Kumar, Devendra; Gupta, Sumit; Singh, Jagdev

doi:10.1016/j.joems.2014.04.003

Numerical study for systems of fractional differential equations via Laplace transform

Document Type : Original Article

Authors

¹ Department of Mathematics, Jagan Nath Gupta Institute of Engineering and Technology, Jaipur 302022, Rajasthan, India

² Department of Mathematics, Jagan Nath University, Village- Rampura, Tehsil-Chaksu, Jaipur 303901, Rajasthan, India

10.1016/j.joems.2014.04.003

Abstract

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.

Keywords