Homotopy perturbation Laplace transform solution of fractional non-linear reaction diffusion system of Lotka-Volterra type differential equation

[1]  Edson Pindza,et al.  Fourier spectral method for higher order space fractional reaction-diffusion equations , 2016, Commun. Nonlinear Sci. Numer. Simul..

[2]  Yuriy Povstenko,et al.  Fundamental Solutions to Time-Fractional Advection Diffusion Equation in a Case of Two Space Variables , 2014 .

[3]  A. Atangana,et al.  Solving Partial Differential Equation with Space- and Time-Fractional Derivatives via Homotopy Decomposition Method , 2013 .

[4]  Xuli Han,et al.  Quasi-wavelet method for time-dependent fractional partial differential equation , 2013, Int. J. Comput. Math..

[5]  Fawang Liu,et al.  A characteristic difference method for the variable-order fractional advection-diffusion equation , 2013 .

[6]  Gisèle M. Mophou,et al.  Optimal control of a nonhomogeneous Dirichlet boundary fractional diffusion equation , 2011, Comput. Math. Appl..

[7]  Elif Demirci,et al.  A fractional order SEIR model with vertical transmission , 2011, Math. Comput. Model..

[8]  Yasir Khan,et al.  Homotopy perturbation transform method for nonlinear equations using He's polynomials , 2011, Comput. Math. Appl..

[9]  Changpin Li,et al.  A note on the finite element method for the space-fractional advection diffusion equation , 2010, Comput. Math. Appl..

[10]  Marcelo A. Savi,et al.  An analysis of heart rhythm dynamics using a three-coupled oscillator model , 2009 .

[11]  Ahmed Ali Mohammed,et al.  Integral transforms and their applications , 2009 .

[12]  Milad Siami,et al.  More Details on Analysis of Fractional-order Van der Pol Oscillator , 2009 .

[13]  Isabel S. Jesus,et al.  Fractional Electrical Impedances in Botanical Elements , 2008 .

[14]  Aytac Arikoglu,et al.  Solution of fractional differential equations by using differential transform method , 2007 .

[15]  J. A. Tenreiro Machado,et al.  Analysis of the Van der Pol Oscillator Containing Derivatives of Fractional Order , 2007 .

[16]  Lina Song,et al.  Application of homotopy analysis method to fractional KdV–Burgers–Kuramoto equation , 2007 .

[17]  Santanu Saha Ray,et al.  Analytical solution of a fractional diffusion equation by Adomian decomposition method , 2006, Appl. Math. Comput..

[18]  J. A. Tenreiro Machado,et al.  Fractional order electrical impedance of fruits and vegetables , 2006 .

[19]  John R. King,et al.  Non-linear reaction–diffusion systems with variable diffusivities: Lie symmetries, ansätze and exact solutions , 2005 .

[20]  Pablo Laguna,et al.  Bioelectrical Signal Processing in Cardiac and Neurological Applications , 2005 .

[21]  Aneta Stefanovska,et al.  Noise and determinism in cardiovascular dynamics , 2002 .

[22]  O. Agrawal.  Solution for a Fractional Diffusion-Wave Equation Defined in a Bounded Domain , 2002 .

[23]  A Stefanovska,et al.  The cardiovascular system as coupled oscillators? , 2001, Physiological measurement.

[24]  A Stefanovska,et al.  Modelling couplings among the oscillators of the cardiovascular system , 2001, Physiological measurement.

[25]  R. Gorenflo,et al.  Fractional calculus and continuous-time finance II: the waiting-time distribution , 2000, cond-mat/0006454.

[26]  R. Hilfer.  Applications Of Fractional Calculus In Physics , 2000 .

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

[28]  John R. King,et al.  Exact polynomial solutions to some nonlinear diffusion equations , 1993 .

[29]  A. Babloyantz,et al.  Is the normal heart a periodic oscillator? , 1988, Biological Cybernetics.

[30]  D. Earn,et al.  Interactions Between the Immune System and Cancer: A Brief Review of Non-spatial Mathematical Models , 2011, Bulletin of mathematical biology.

[31]  Gisèle M. Mophou,et al.  Optimal control of fractional diffusion equation , 2011, Comput. Math. Appl..

[32]  Mehdi Dalir,et al.  Applications of Fractional Calculus , 2010 .

[33]  Chunhai Kou,et al.  Stability Analysis for Fractional Differential Equations and Their Applications in the Models of HIV-1 Infection , 2009 .

[34]  R. Granit.  THE HEART ( Extract from “ Principles and Applications of Bioelectric and Biomagnetic Fields , 2005 .