EXP-FUNCTION METHOD USING MODIFIED RIEMANN– LIOUVILLE DERIVATIVE FOR SINGULARLY PERTURBED BOUSSINESQ EQUATIONS OF FRACTIONAL-ORDER

Authors

  • Qazi Mahmood Ul Hassan HITEC University Taxila Cantt - Department of Mathematics
  • Syed Tauseef Mohyud-Din HITEC University Taxila Cantt - Department of Mathematics

Keywords:

perturbed sixth-order Boussinesq equations, fractional calculus, exp-function method, modified Riemann-Liouville derivative

Abstract

This paper witnesses the combination of an efficient transformation and Exp-function method to construct generalized solitary wave solutions of the nonlinear singularly perturbed sixth-order Boussinesq equations of fractional-order.  Computational work and subsequent numerical results re-confirm the efficiency of proposed algorithm.  It is observed that suggested scheme is highly reliable and may be extended to other nonlinear differential equations of fractional order.

Cover of n°32 Italian Journal of Pure and Applied Mathematics

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Published

2014-08-22

How to Cite

Ul Hassan, Q. M., & Mohyud-Din, S. T. (2014). EXP-FUNCTION METHOD USING MODIFIED RIEMANN– LIOUVILLE DERIVATIVE FOR SINGULARLY PERTURBED BOUSSINESQ EQUATIONS OF FRACTIONAL-ORDER. Italian Journal of Pure and Applied Mathematics, 32, 185–192. Retrieved from https://journals.uniurb.it/index.php/ijpam/article/view/6223

Issue

N°32 - August 2014

Section

Articoli - Forum Editrice

License

Copyright (c) 2014 Qazi Mahmood Ul Hassan, Syed Tauseef Mohyud-Din

Creative Commons License

This work is licensed under a Creative Commons Attribution 4.0 International License.

L'opera è pubblicata sotto  Licenza Creative Commons Attribuzione 4.0 Internazionale (CC-BY)