A New Efficient Algorithm to Solve Non-Linear Fractional Ito Coupled System and Its Approximate Solution

Authors

  • Sunil KUMAR Department of Mathematics, National Institute of Technology, Jamshedpur, Jharkhand 831014

Keywords:

Ito coupled system, fractional derivative, Caputo derivatives, approximate solution, fractional Brownian motion

Abstract

The aim of the present article is to obtain the approximate analytical solution of time fractional Ito coupled equations by using the homotopy perturbation method. The fractional derivatives are described in the Caputo sense. The highlight of the paper is error analysis between the exact solutions and approximate solutions which shows that our approximate solutions converge very rapidly to the exact solutions. The method gives analytical solution in the form of a convergent series with easily computable components, requiring no linearization or small perturbation. The results reveal that the proposed method is very effective and simple.

doi:10.14456/WJST.2014.60

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Author Biography

Sunil KUMAR, Department of Mathematics, National Institute of Technology, Jamshedpur, Jharkhand 831014

Department of Mathematics

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Published

2014-10-21

How to Cite

KUMAR, S. (2014). A New Efficient Algorithm to Solve Non-Linear Fractional Ito Coupled System and Its Approximate Solution. Walailak Journal of Science and Technology (WJST), 11(12), 1057–1067. Retrieved from https://wjst.wu.ac.th/index.php/wjst/article/view/642