A numerical method based on finite difference for solving fractional delay differential equations

[1]  Neville J. Ford,et al.  Analysis and numerical methods for fractional differential equations with delay , 2013, J. Comput. Appl. Math..

[2]  Xia Huang,et al.  A Numerical Method for Delayed Fractional-Order Differential Equations: Based on G-L Definition , 2013 .

[3]  Zhen Wang,et al.  A Numerical Method for Delayed Fractional-Order Differential Equations , 2013, J. Appl. Math..

[4]  R. Bellman,et al.  Differential-Difference Equations , 1967 .

[5]  Y. Kuang.  Delay Differential Equations: With Applications in Population Dynamics , 2012 .

[6]  SACHIN BHALEKAR,et al.  A PREDICTOR-CORRECTOR SCHEME FOR SOLVING NONLINEAR DELAY DIFFERENTIAL EQUATIONS OF FRACTIONAL ORDER , 2011 .

[7]  Hyunsoo Kim,et al.  Travelling wave solutions for time-delayed nonlinear evolution equations , 2010, Appl. Math. Lett..

[8]  Rathinasamy Sakthivel,et al.  Existence Results for Fractional Order Semilinear Integro-Differential Evolution Equations with Infinite Delay , 2010 .

[9]  Rathinasamy Sakthivel,et al.  Existence and uniqueness of mild solutions for semilinear integro-differential equations of fractional order with nonlocal initial conditions and delays , 2009 .

[10]  Johnny Henderson,et al.  Existence results for fractional order functional differential equations with infinite delay , 2008 .

[11]  H. Srivastava,et al.  Theory and Applications of Fractional Differential Equations , 2006 .

[12]  Yang Kuang,et al.  Mathematical models and software tools for the glucose-insulin regulatory system and diabetes: an overview , 2006 .

[13]  H. Srivastava,et al.  THEORY AND APPLICATIONS OF FRACTIONAL DIFFERENTIAL EQUATIONS. NORTH-HOLLAND MATHEMATICS STUDIES , 2006 .

[14]  Andrew C. Fowler,et al.  Asymptotic methods for delay equations , 2005 .

[15]  M. K. Kadalbajoo,et al.  Numerical analysis of singularly perturbed delay differential equations with layer behavior , 2004, Appl. Math. Comput..

[16]  Thomas Erneux,et al.  Hopf Bifurcation Subject to a Large Delay in a Laser System , 2000, SIAM Rev..

[17]  P. Saboureau,et al.  Injection-locked semiconductor lasers with delayed optoelectronic feedback , 1997 .

[18]  S. Lunel,et al.  Delay Equations. Functional-, Complex-, and Nonlinear Analysis , 1995 .

[19]  Jack K. Hale,et al.  Introduction to Functional Differential Equations , 1993, Applied Mathematical Sciences.

[20]  V. Kolmanovskii,et al.  Applied Theory of Functional Differential Equations , 1992 .

[21]  Yang Kuang,et al.  On neutral delay logistic gause-type predator-prey systems , 1991 .

[22]  V. Kolmanovskii,et al.  Stability of Functional Differential Equations , 1986 .

[23]  J. Hale.  Theory of Functional Differential Equations , 1977 .

[24]  R. D. Driver,et al.  Ordinary and Delay Differential Equations , 1977 .

[25]  John L. Casti,et al.  Introduction to the theory and application of differential equations with deviating arguments , 1973 .

[26]  N. Rose,et al.  Differential Equations With Applications , 1967 .