A new predictor-corrector method for fractional differential equations
暂无分享,去创建一个
Sachin Bhalekar | Varsha Daftardar-Gejji | Yogita Sukale | S. Bhalekar | Varsha Daftardar-Gejji | Yogita Sukale
[1] I. Podlubny. Fractional differential equations , 1998 .
[2] C. Lubich,et al. Runge-Kutta theory for Volterra and Abel integral equations of the second kind , 1983 .
[3] M. Haeri,et al. Comparing Numerical Methods for Solving Nonlinear Fractional Order Differential Equations , 2010 .
[4] Alan D. Freed,et al. Detailed Error Analysis for a Fractional Adams Method , 2004, Numerical Algorithms.
[5] F. Mainardi. Fractional Calculus and Waves in Linear Viscoelasticity: An Introduction to Mathematical Models , 2010 .
[6] R. Magin. Fractional Calculus in Bioengineering , 2006 .
[7] J. A. Tenreiro Machado,et al. Fractional dynamics in DNA , 2011 .
[8] Hossein Jafari,et al. Analysis of a system of nonautonomous fractional differential equations involving Caputo derivatives , 2007 .
[9] Changpin Li,et al. Numerical algorithm based on Adomian decomposition for fractional differential equations , 2009, Comput. Math. Appl..
[10] Sachin Bhalekar,et al. Solving a System of Nonlinear Functional Equations Using Revised New Iterative Method , 2012 .
[11] Sachin Bhalekar,et al. Convergence of the New Iterative Method , 2011 .
[12] A. A. Hemeda. Homotopy Perturbation Method for Solving Systems of Nonlinear Coupled Equations , 2012 .
[13] Alan Feldstein,et al. Smoothness of solutions of Volterra integral equations with weakly singular kernels , 1971 .
[14] Varsha Daftardar-Gejji. Fractional Calculus: Theory and Applications , 2014 .
[15] Rostam K. Saeed,et al. An iterative method with quartic convergence for solving nonlinear equations , 2008, Appl. Math. Comput..
[16] J. Butcher. Numerical methods for ordinary differential equations , 2003 .
[17] Mohammad Saleh Tavazoei,et al. Limitations of frequency domain approximation for detecting chaos in fractional order systems , 2008 .
[18] Fractional dynamics and collider phenomenology , 2009 .
[19] G. Adomian. A review of the decomposition method in applied mathematics , 1988 .
[20] N. Ford,et al. A Predictor-Corrector Approach for the Numerical Solution of Fractional Differential Equations , 2013 .
[21] Hossein Jafari,et al. Adomian decomposition: a tool for solving a system of fractional differential equations , 2005 .
[22] Varsha Daftardar-Gejji,et al. An iterative method for solving nonlinear functional equations , 2006 .
[23] Sachin Bhalekar,et al. Forming Mechanizm of Bhalekar-Gejji Chaotic Dynamical System , 2013 .