A numerical scheme based on non-discretization of data for boundary value problems of fractional order differential equations
暂无分享,去创建一个
[1] K. Shah,et al. Existence and numerical solutions of a coupled system of integral BVP for fractional differential equations , 2018, Advances in Difference Equations.
[2] A. Ibrahim,et al. Topological structure of the solution set for fractional non-instantaneous impulsive evolution inclusions , 2018, Journal of Fixed Point Theory and Applications.
[3] Yongjin Li,et al. Numerical Solutions of Coupled Systems of Fractional Order Partial Differential Equations , 2017 .
[4] Nehad Ali Shah,et al. Influence of time-fractional derivatives on the boundary layer flow of Maxwell fluids , 2017 .
[5] Xinguang Zhang,et al. Exact Iterative Solution for an Abstract Fractional Dynamic System Model for Bioprocess , 2017 .
[6] Yonghong Wu,et al. Nontrivial solutions for a fractional advection dispersion equation in anomalous diffusion , 2017, Appl. Math. Lett..
[7] J. Machado,et al. A new fractional operator of variable order: Application in the description of anomalous diffusion , 2016, 1611.09200.
[8] Hammad Khalil,et al. A generalized scheme based on shifted Jacobi polynomials for numerical simulation of coupled systems of multi-term fractional-order partial differential equations , 2017 .
[9] Xiao‐Jun Yang,et al. Fractional derivatives of constant and variable orders applied to anomalous relaxation models in heat-transfer problems , 2016, 1612.03202.
[10] Zhanbing Bai,et al. Existence results for impulsive nonlinear fractional differential equation with mixed boundary conditions , 2016, Boundary Value Problems.
[11] SHUO ZHANG,et al. MONOTONE ITERATIVE METHOD FOR FRACTIONAL DIFFERENTIAL EQUATIONS , 2016 .
[12] K. Shah. MULTI POINT BOUNDARY VALUE PROBLEMS FOR SYSTEMS OF FRACTIONAL DIFFERENTIAL EQUATIONS: EXISTENCE THEORY AND NUMERICAL SIMULATIONS , 2015 .
[13] Yonghong Wu,et al. Variational structure and multiple solutions for a fractional advection-dispersion equation , 2014, Comput. Math. Appl..
[14] Bulent Kilic,et al. Classification of traveling wave solutions for time-fractional fifth-order KdV-like equation , 2014 .
[15] J. Rosales,et al. Two dimensional fractional projectile motion in a resisting medium , 2014 .
[16] J. Rosales,et al. RLC electrical circuit of non-integer order , 2013 .
[17] Saudi Arabia,et al. MOTION OF A PARTICLE IN A RESISTING MEDIUM USING FRACTIONAL CALCULUS APPROACH , 2013 .
[18] Yonghong Wu,et al. Existence results for multiple positive solutions of nonlinear higher order perturbed fractional differential equations with derivatives , 2012, Appl. Math. Comput..
[19] Eva Kaslik,et al. Nonlinear dynamics and chaos in fractional-order neural networks , 2012, Neural Networks.
[20] Ralf Metzler,et al. Fractional Calculus: An Introduction for Physicists , 2012 .
[21] Guoqing Chai,et al. Existence results for boundary value problems of nonlinear fractional differential equations , 2011, Comput. Math. Appl..
[22] Lishan Liu,et al. Positive solutions for a nonlocal fractional differential equation , 2011 .
[23] Y. Ordokhani,et al. Approximate Solutions of Differential Equations by Using the Bernstein Polynomials , 2011 .
[24] Rahmat Ali Khan,et al. A note on boundary value problems for a coupled system of fractional differential equations , 2011, Comput. Math. Appl..
[25] M. Rehman. Boundary Value Problems for Fractional Differential Equations: Existence Theory and Numerical Solutions , 2011 .
[26] Mahmoud Behroozifar,et al. Operational matrices of Bernstein polynomials and their applications , 2010, Int. J. Syst. Sci..
[27] Mehdi Dehghan,et al. A new operational matrix for solving fractional-order differential equations , 2010, Comput. Math. Appl..
[28] Mehdi Dalir,et al. Applications of Fractional Calculus , 2010 .
[29] I. Ozkol,et al. Solution of fractional integro-differential equations by using fractional differential transform method , 2009 .
[30] V. Lakshmikantham,et al. Theory of Fractional Dynamic Systems , 2009 .
[31] I. Hashim,et al. HOMOTOPY ANALYSIS METHOD FOR FRACTIONAL IVPS , 2009 .
[32] S. Das,et al. Analytical solution of a fractional diffusion equation by variational iteration method , 2009, Comput. Math. Appl..
[33] Xinwei Su,et al. Boundary value problem for a coupled system of nonlinear fractional differential equations , 2009, Appl. Math. Lett..
[34] S. Momani,et al. Application of generalized differential transform method to multi-order fractional differential equations , 2008 .
[35] A. Fairhall,et al. Fractional differentiation by neocortical pyramidal neurons , 2008, Nature Neuroscience.
[36] D. Greenspan. Approximate Solution of Boundary Value Problems , 2008 .
[37] S. Momani,et al. Solving systems of fractional differential equations using differential transform method , 2008 .
[38] S. Momani,et al. Numerical methods for nonlinear partial differential equations of fractional order , 2008 .
[39] Aytac Arikoglu,et al. Solution of fractional differential equations by using differential transform method , 2007 .
[40] N. Sweilam,et al. Numerical studies for a multi-order fractional differential equation , 2007 .
[41] Shaher Momani,et al. Numerical approach to differential equations of fractional order , 2007 .
[42] Paul Bracken,et al. Solutions of differential equations in a Bernstein polynomial basis , 2007 .
[43] Birendra Nath Mandal,et al. Numerical solution of some classes of integral equations using Bernstein polynomials , 2007, Appl. Math. Comput..
[44] Shaher Momani,et al. Homotopy perturbation method for nonlinear partial differential equations of fractional order , 2007 .
[45] Parviz Darania,et al. A method for the numerical solution of the integro-differential equations , 2007, Appl. Math. Comput..
[46] Zaid M. Odibat,et al. Generalized Taylor's formula , 2007, Appl. Math. Comput..
[47] B. West. Fractional Calculus in Bioengineering , 2007 .
[48] M. A. Abdou,et al. Adomian decomposition method for solving fractional nonlinear differential equations , 2006, Appl. Math. Comput..
[49] Fawang Liu,et al. Numerical solution of the space fractional Fokker-Planck equation , 2004 .
[50] Richard L Magin,et al. Fractional calculus in bioengineering, part 2. , 2004, Critical reviews in biomedical engineering.
[51] Henryk Gzyl,et al. On the Approximation Properties of Bernstein Polynomials via Probabilistic Tools , 2003 .
[52] R. Hilfer. Applications Of Fractional Calculus In Physics , 2000 .
[53] J. K. Hammond,et al. Physical and geometrical in-terpretation of fractional operators , 1998 .
[54] M. Shitikova,et al. Applications of Fractional Calculus to Dynamic Problems of Linear and Nonlinear Hereditary Mechanics of Solids , 1997 .
[55] Richard T. Baillie,et al. Long memory processes and fractional integration in econometrics , 1996 .
[56] Luise Blank,et al. Numerical Treatment of Differential Equations of Fractional Order , 1996 .
[57] K. Miller,et al. An Introduction to the Fractional Calculus and Fractional Differential Equations , 1993 .
[58] Raoul R. Nigmatullin,et al. Fractional integral and its physical interpretation , 1992 .
[59] M. Ichise,et al. An analog simulation of non-integer order transfer functions for analysis of electrode processes , 1971 .