APPROXIMATE SOLUTIONS TO THE GENERALIZED TIME-FRACTIONAL ITO SYSTEM

Authors

  • H.M. Jaradat Al al-Bayt University - Department of Mathematics
  • Imad Jaradat Jordan University of Science & Technology - Department of Mathematics
  • Marwan Alquran Jordan University of Science & Technology - Department of Mathematics
  • M.M.M. Jaradat Qatar University - Department of Mathematics & Statistics & Physics
  • Zead Mustafa Qatar University - Department of Mathematics & Statistics & Physics
  • Khedr M. Abohassan Dhofar University - Department of Mathematics and Applied Sciences
  • Ra’ed Abdelkarim Dhofar University - Department of Mathematics and Applied Sciences

Keywords:

time-fractional Ito model, Tanh method, residual power series method

Abstract

In this work, we consider the time-fractional version of the well-known integrable Ito system to study the effect of its fractional index "memory index".  A modified approach of a relatively new method called residual power series (RPS) is applied to construct an analytical solution for the fractional system.  For purpose of comparison, we derive one of the classical Ito system solitary wave solution using Tanh method.

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Published

2017-01-31

How to Cite

Jaradat, H., Jaradat, I., Alquran, M., Jaradat, M., Mustafa, Z., Abohassan, K. M., & Abdelkarim, R. (2017). APPROXIMATE SOLUTIONS TO THE GENERALIZED TIME-FRACTIONAL ITO SYSTEM. Italian Journal of Pure and Applied Mathematics, 37, 699–710. Retrieved from https://journals.uniurb.it/index.php/ijpam/article/view/6661

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Section

Articoli - Forum Editrice

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