New Approach to Find the Exact Solution of Fractional Partial Differential Equation
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Hamed Hamid Muhammed | Abdolamir Karbalaie | H. Muhammed | A. Karbalaie | Mohammad Mehdi Montazeri | M. Montazeri
[1] Shaher Momani,et al. A reliable treatment of homotopy perturbation method for Klein–Gordon equations , 2007 .
[2] I. Podlubny. Fractional differential equations : an introduction to fractional derivatives, fractional differential equations, to methods of their solution and some of their applications , 1999 .
[3] Saad Zagloul Rida,et al. Homotopy Analysis Method for Solving Biological Population Model , 2011 .
[4] Najeeb Alam Khan,et al. Approximate analytical solutions of fractional reaction-diffusion equations , 2012 .
[5] Ji-Huan He. Limit cycle and bifurcation of nonlinear problems , 2005 .
[6] Ji-Huan He,et al. Solution of nonlinear equations by an ancient Chinese algorithm , 2004, Appl. Math. Comput..
[7] Ruyun Chen,et al. On exact solutions to partial differential equations by the modified homotopy perturbation method , 2012 .
[8] Francesco Mainardi,et al. Fractional Diffusive Waves , 2001 .
[9] Ji-Huan He. New interpretation of homotopy perturbation method , 2006 .
[10] H. Srivastava,et al. Theory and Applications of Fractional Differential Equations , 2006 .
[11] Hossein Jafari,et al. Application of the homotopy perturbation method to coupled system of partial differential equations with time fractional derivatives , 2008 .
[12] Iqtadar Hussain,et al. A new comparative study between homotopy analysis transform method and homotopy perturbation transform method on a semi infinite domain , 2012, Math. Comput. Model..
[13] Khaled A. Gepreel,et al. The homotopy perturbation method applied to the nonlinear fractional Kolmogorov-Petrovskii-Piskunov equations , 2011, Appl. Math. Lett..
[14] R. Hilfer. Applications Of Fractional Calculus In Physics , 2000 .
[15] George Adomian,et al. Solving Frontier Problems of Physics: The Decomposition Method , 1993 .
[16] Ahmet Yildirim,et al. Analytical approach to Fokker–Planck equation with space- and time-fractional derivatives by means of the homotopy perturbation method , 2010 .
[17] Sachin Bhalekar,et al. New iterative method: Application to partial differential equations , 2008, Appl. Math. Comput..
[18] James P. Keener,et al. Mathematical physiology , 1998 .
[19] Eugene N. Bruce,et al. Biomedical Signal Processing and Signal Modeling , 2000 .
[20] F. Mainardi,et al. The fundamental solution of the space-time fractional diffusion equation , 2007, cond-mat/0702419.
[21] Ji-Huan He,et al. Homotopy perturbation method: a new nonlinear analytical technique , 2003, Appl. Math. Comput..
[22] O. Marichev,et al. Fractional Integrals and Derivatives: Theory and Applications , 1993 .
[23] Muhammad Aslam Noor,et al. Variational Homotopy Perturbation Method for Solving Higher Dimensional Initial Boundary Value Problems , 2008 .
[24] Ahmet Yildirim,et al. Application of the homotopy perturbation method for the Fokker–Planck equation , 2010 .
[25] S. Momani,et al. A novel method for nonlinear fractional partial differential equations: Combination of DTM and generalized Taylor's formula , 2008 .
[26] Igor Podlubny,et al. The Laplace Transform Method for Linear Differential Equations of the Fractional Order , 1997, funct-an/9710005.
[27] K. Miller,et al. An Introduction to the Fractional Calculus and Fractional Differential Equations , 1993 .
[28] K. N. Rai,et al. A multi-term fractional diffusion equation for oxygen delivery through a capillary to tissues , 2010, Math. Comput. Model..
[29] Yu-Ming Chu,et al. Solution to the Linear Fractional Differential Equation Using Adomian Decomposition Method , 2011 .
[30] Ji-Huan He. Homotopy perturbation technique , 1999 .
[31] Sachin Bhalekar,et al. Solving fractional boundary value problems with Dirichlet boundary conditions using a new iterative method , 2010, Comput. Math. Appl..
[32] Ji-Huan He. HOMOTOPY PERTURBATION METHOD FOR SOLVING BOUNDARY VALUE PROBLEMS , 2006 .
[33] Ji-Huan He. Approximate analytical solution for seepage flow with fractional derivatives in porous media , 1998 .
[34] R. Magin,et al. Modeling the Cardiac Tissue Electrode Interface Using Fractional Calculus , 2008 .
[35] Yanqin Liu. Approximate Solutions of Fractional Nonlinear Equations Using Homotopy Perturbation Transformation Method , 2012 .
[36] Davood Domiri Ganji,et al. Explicit Solutions of Helmholtz Equation and Fifth-order KdV Equation using Homotopy Perturbation Method , 2006 .
[37] R. K. Saxena,et al. Generalized mittag-leffler function and generalized fractional calculus operators , 2004 .
[38] R. Magin. Fractional Calculus in Bioengineering , 2006 .
[39] Ji-Huan He. A coupling method of a homotopy technique and a perturbation technique for non-linear problems , 2000 .