A homotopy perturbation method for fractional-order advection-diffusion-reaction boundary-value problems

[1]  Yu Zhang,et al.  Local Fractional Homotopy Perturbation Method for Solving Non-Homogeneous Heat Conduction Equations in Fractal Domains , 2015, Entropy.

[2]  Ji-Huan He A Tutorial Review on Fractal Spacetime and Fractional Calculus , 2014 .

[3]  Davood Domiri Ganji,et al.  Heat transfer of Cu-water nanofluid flow between parallel plates , 2013 .

[4]  Shijun Liao,et al.  Homotopy Analysis Method in Nonlinear Differential Equations , 2012 .

[5]  Yuri A. Kuznetsov,et al.  Multiple solutions of a Generalized singular perturbed Bratu Problem , 2012, Int. J. Bifurc. Chaos.

[6]  Amin Kolahdooz,et al.  Investigation of Rotating MHD Viscous Flow and Heat Transfer between Stretching and Porous Surfaces Using Analytical Method , 2011 .

[7]  Jafar Biazar,et al.  Convergence of the homotopy perturbation method for partial differential equations , 2009 .

[8]  Shaher Momani,et al.  Comparison between the homotopy perturbation method and the variational iteration method for linear fractional partial differential equations , 2007, Comput. Math. Appl..

[9]  Hossein Jafari,et al.  Positive solutions of nonlinear fractional boundary value problems using Adomian decomposition method , 2006, Appl. Math. Comput..

[10]  Muhammed I. Syam,et al.  An efficient method for solving Bratu equations , 2006, Appl. Math. Comput..

[11]  G. Jumarie,et al.  Modified Riemann-Liouville derivative and fractional Taylor series of nondifferentiable functions further results , 2006, Comput. Math. Appl..

[12]  Ji-Huan He HOMOTOPY PERTURBATION METHOD FOR SOLVING BOUNDARY VALUE PROBLEMS , 2006 .

[13]  Abdul-Majid Wazwaz,et al.  Adomian decomposition method for a reliable treatment of the Bratu-type equations , 2005, Appl. Math. Comput..

[14]  S. Liao,et al.  Beyond Perturbation: Introduction to the Homotopy Analysis Method , 2003 .

[15]  Ji-Huan He,et al.  Homotopy perturbation method: a new nonlinear analytical technique , 2003, Appl. Math. Comput..

[16]  Ji-Huan He Homotopy perturbation technique , 1999 .

[17]  O. Marichev,et al.  Fractional Integrals and Derivatives: Theory and Applications , 1993 .

[18]  G. Adomian A review of the decomposition method in applied mathematics , 1988 .

[19]  K. B. Oldham,et al.  The Fractional Calculus: Theory and Applications of Differentiation and Integration to Arbitrary Order , 1974 .

[20]  Y. Xiaojun,et al.  Advanced Local Fractional Calculus and Its Applications , 2012 .

[21]  Jamal Amani Rad,et al.  Exp-function method for some nonlinear PDE’s and a nonlinear ODE’s , 2012 .

[22]  M. Turkyilmazoglu Convergence of the Homotopy Perturbation Method , 2011 .

[23]  E. Babolian,et al.  A comparison between the Homotopy Perturbation Method and Adomian's Decomposition Method for Solving Nonlinear , 2011 .

[24]  Ji-Huan He New interpretation of homotopy perturbation method , 2006 .

[25]  Suheil A. Khuri,et al.  A new approach to Bratu's problem , 2004, Appl. Math. Comput..

[26]  I. Podlubny Fractional differential equations : an introduction to fractional derivatives, fractional differential equations, to methods of their solution and some of their applications , 1999 .

[27]  V. Kac,et al.  Bombay Lectures On Highest Weight Representations Of Infinite Dimensional Lie Algebras , 1983 .