Numerical study for systems of fractional differential equations via Laplace transform | ||||
Journal of the Egyptian Mathematical Society | ||||
Volume 23, Issue 2, 2015, Page 256-262 PDF (1.03 MB) | ||||
Document Type: Original Article | ||||
DOI: 10.1016/j.joems.2014.04.003 | ||||
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Authors | ||||
Devendra Kumar* 1; Sumit Gupta1; Jagdev Singh2 | ||||
1Department of Mathematics, Jagan Nath Gupta Institute of Engineering and Technology, Jaipur 302022, Rajasthan, India | ||||
2Department of Mathematics, Jagan Nath University, Village- Rampura, Tehsil-Chaksu, Jaipur 303901, Rajasthan, India | ||||
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 | ||||
Systems of fractional differential equations; Laplace transform; Homotopy analysis method; Approximate solution | ||||
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