论文信息 - On the Solution of Nonlinear Fractional-Order Differential Equations Used in the Modeling of Viscoplasticity - 字舞流文

On the Solution of Nonlinear Fractional-Order Differential Equations Used in the Modeling of Viscoplasticity

Alan D. Freed | Kai Diethelm | K. Diethelm | A. Freed

[1] F. Mainardi,et al. Fractals and fractional calculus in continuum mechanics , 1997 .

[2] K. Diethelm. AN ALGORITHM FOR THE NUMERICAL SOLUTION OF DIFFERENTIAL EQUATIONS OF FRACTIONAL ORDER , 1997 .

[3] E. Krempl,et al. A state variable model for high strength polymers , 1995 .

[4] Ernst Hairer,et al. Solving Ordinary Differential Equations I: Nonstiff Problems , 2009 .

[5] O. Marichev,et al. Fractional Integrals and Derivatives: Theory and Applications , 1993 .

[6] E. Hairer,et al. Solving ordinary differential equations I (2nd revised. ed.): nonstiff problems , 1993 .

[7] Hermann Brunner,et al. Algorithm 689: Discretized collocation and iterated collocation for nonlinear Volterra integral equations of the second kind , 1991, TOMS.

[8] C. Lubich. Discretized fractional calculus , 1986 .

[9] John M. Bownds,et al. Algorithm 627: A FORTRAN subroutine for solving Volterra integral equations , 1985, TOMS.

[10] Peter Linz,et al. Analytical and numerical methods for Volterra equations , 1985, SIAM studies in applied and numerical mathematics.

[11] M. Caputo,et al. A new dissipation model based on memory mechanism , 1971 .

[12] M. Caputo. Linear Models of Dissipation whose Q is almost Frequency Independent-II , 1967 .