Browsing by Subject "Fractional differential equation"
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Homotopy perturbation method for nonlinear partial differential equations of fractional order
( Elsevier B.V. , 2007 , Article)The aim of this Letter is to present an efficient and reliable treatment of the homotopy perturbation method (HPM) for nonlinear partial differential equations with fractional time derivative. The fractional derivative is ... -
Numerical methods for nonlinear partial differential equations of fractional order
( Elsevier B.V. , 2008 , Article)In this article, we implement relatively new analytical techniques, the variational iteration method and the Adomian decomposition method, for solving nonlinear partial differential equations of fractional order. The ... -
Solving systems of fractional differential equations using differential transform method
( Elsevier B.V. , 2007 , Article)This paper presents approximate analytical solutions for systems of fractional differential equations using the differential transform method. The fractional derivatives are described in the Caputo sense. The application ...