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Solution of nonlinear fractional differential equations using homotopy analysis method

Ganjiani, M ; Sharif University of Technology | 2010

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  1. Type of Document: Article
  2. DOI: 10.1016/j.apm.2009.09.011
  3. Publisher: 2010
  4. Abstract:
  5. In this article, the homotopy analysis method has been applied to solve nonlinear differential equations of fractional order. The validity of this method has successfully been accomplished by applying it to find the solution of two nonlinear fractional equations. The results obtained by homotopy analysis method have been compared with those exact solutions. The results show that the solution of homotopy analysis method is good agreement with the exact solution. Crown
  6. Keywords:
  7. Homotopy analysis method ; Nonlinear differential equations ; Exact solution ; Fractional differential equations ; Fractional equation ; Fractional order ; Homotopy analysis methods ; Nonlinear differential equation ; Differential equations ; Nonlinear analysis ; Nonlinear equations
  8. Source: Applied Mathematical Modelling ; Volume 34, Issue 6 , 2010 , Pages 1634-1641 ; 0307904X (ISSN)
  9. URL: http://www.sciencedirect.com/science/article/pii/S0307904X09002893