Kumar, D., Gupta, S., Singh, J. (2015). Numerical study for systems of fractional differential equations via Laplace transform. test, 23(2), 256-262. doi: 10.1016/j.joems.2014.04.003
Devendra Kumar; Sumit Gupta; Jagdev Singh. "Numerical study for systems of fractional differential equations via Laplace transform". test, 23, 2, 2015, 256-262. doi: 10.1016/j.joems.2014.04.003
Kumar, D., Gupta, S., Singh, J. (2015). 'Numerical study for systems of fractional differential equations via Laplace transform', test, 23(2), pp. 256-262. doi: 10.1016/j.joems.2014.04.003
Kumar, D., Gupta, S., Singh, J. Numerical study for systems of fractional differential equations via Laplace transform. test, 2015; 23(2): 256-262. doi: 10.1016/j.joems.2014.04.003

Numerical study for systems of fractional differential equations via Laplace transform

Journal of the Egyptian Mathematical Society
Volume 23, Issue 2, 2015, Pages 256-262    PDF (1.03 M)
Document Type: Original Article
DOI: 10.1016/j.joems.2014.04.003
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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