The present study introduces a new technique of homotopy perturbation method for the solution of systems of fractional partial differential equations. The proposed scheme is based on Laplace transform and new homotopy perturbation methods. The fractional derivatives are considered in Caputo sense. To illustrate the ability and reliability of the method some examples are provided. The results obtained by the proposed method show that the approach is very efficient, less computational and can be applied to other linear and nonlinear partial differential equations.
Aminikhah, H., Refahi Sheikhani, A. H., & Rezazadeh, H. (2014). Exact and numerical solutions of linear and non-linear systems of fractional partial differential equations. Journal of Mathematical Modeling, 2(1), 22-40.
MLA
Hossein Aminikhah; Amir Hossein Refahi Sheikhani; Hadi Rezazadeh. "Exact and numerical solutions of linear and non-linear systems of fractional partial differential equations". Journal of Mathematical Modeling, 2, 1, 2014, 22-40.
HARVARD
Aminikhah, H., Refahi Sheikhani, A. H., Rezazadeh, H. (2014). 'Exact and numerical solutions of linear and non-linear systems of fractional partial differential equations', Journal of Mathematical Modeling, 2(1), pp. 22-40.
VANCOUVER
Aminikhah, H., Refahi Sheikhani, A. H., Rezazadeh, H. Exact and numerical solutions of linear and non-linear systems of fractional partial differential equations. Journal of Mathematical Modeling, 2014; 2(1): 22-40.
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