Modified Homotopy Analysis Method for Nonlinear Fractional Partial Differential Equations

Ziane, D.; Hamdi Cherif, M.

Research Article

Modified Homotopy Analysis Method for Nonlinear Fractional Partial Differential Equations

D. Ziane¹
M. Hamdi Cherif¹*

Laboratory of mathematics and its applications (LAMAP) University of Oran1 Ahmed Ben Bella, Oran, 31000, Algeria

* Corresponding author

Abstract

In this paper, a combined form of natural transform with homotopy analysis method is proposed to solve nonlinear fractional partial differential equations. This method is called the fractional homotopy analysis natural transform method (FHANTM). The FHANTM can easily be applied to many problems and is capable of reducing the size of computational work. The fractional derivative is described in the Caputo sense. The results show that the FHANTM is an appropriate method for solving nonlinear fractional partial differentia equation.

How to Cite

D. Ziane, M. Hamdi Cherif, Modified Homotopy Analysis Method for Nonlinear Fractional Partial Differential Equations, Int. J. Anal. Appl. 14 (2017), 77–87.

BibTeX

@article{Ziane2017,
  author  = {Ziane, D. and Hamdi Cherif, M.},
  title   = {Modified Homotopy Analysis Method for Nonlinear Fractional Partial Differential Equations},
  journal = {Int. J. Anal. Appl.},
  volume  = {14},
  year    = {2017},
  pages   = {77--87},
  doi     = {}
}

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