Rational Solutions for the Time-Fractional Diffusion Equation
暂无分享,去创建一个
[1] Harry Pollard,et al. The completely monotonic character of the Mittag-Leffler function $E_a \left( { - x} \right)$ , 1948 .
[2] W. Wyss. The fractional diffusion equation , 1986 .
[3] Serge Winitzki,et al. Uniform Approximations for Transcendental Functions , 2003, ICCSA.
[4] O. Marichev,et al. Fractional Integrals and Derivatives: Theory and Applications , 1993 .
[5] Mário N. Berberan-Santos,et al. Properties of the Mittag-Leffler Relaxation Function , 2005 .
[6] Rudolf Hilfer,et al. Computation of the generalized Mittag-Leffler function and its inverse in the complex plane , 2006 .
[7] A. Mcbride,et al. Fractional calculus and integral transforms of generalized functions , 1979 .
[8] Hari M. Srivastava,et al. Univalent Functions, Fractional Calculus, and Their Applications , 1990, The Mathematical Gazette.
[9] K. Miller,et al. An Introduction to the Fractional Calculus and Fractional Differential Equations , 1993 .
[10] Colin Atkinson,et al. On stress singularities and interfaces in linear elastic fracture mechanics , 1977 .
[11] Enrico Scalas,et al. REVISITING THE DERIVATION OF THE FRACTIONAL DIFFUSION EQUATION , 2003 .
[12] W. Schneider,et al. Fractional diffusion and wave equations , 1989 .
[13] Francesco Mainardi,et al. Applications of integral transforms in fractional diffusion processes , 2004, 0710.0145.
[14] Trenton R. Ensley,et al. Properties of the Mittag-Leffler Function , 2007 .
[15] M. Caputo. Linear Models of Dissipation whose Q is almost Frequency Independent-II , 1967 .
[16] Francesco Mainardi,et al. Linear models of dissipation in anelastic solids , 1971 .
[17] M. T. Cicero. FRACTIONAL CALCULUS AND WAVES IN LINEAR VISCOELASTICITY , 2012 .
[18] H. Srivastava,et al. Theory and Applications of Fractional Differential Equations , 2006 .
[19] I. Podlubny. Fractional differential equations , 1998 .
[20] A. Wiman. Über den Fundamentalsatz in der Teorie der FunktionenEa(x) , 1905 .
[21] Alan D. Freed,et al. Fractional-order Viscoelasticity (FOV): Constitutive Development Using the Fractional Calculus: First Annual Report , 2002 .
[22] A. P. Starovoitov,et al. Padé approximants of the Mittag-Leffler functions , 2007 .
[23] W. Feller. Fluctuation theory of recurrent events , 1949 .
[24] R. Gorenflo,et al. Some recent advances in theory and simulation of fractional diffusion processes , 2007, 0801.0146.
[25] V. Kiryakova. Generalized Fractional Calculus and Applications , 1993 .
[26] F. Mainardi,et al. The fundamental solution of the space-time fractional diffusion equation , 2007, cond-mat/0702419.
[27] F. Mainardi. The fundamental solutions for the fractional diffusion-wave equation , 1996 .
[28] R. Gorenflo,et al. Time-fractional derivatives in relaxation processes: a tutorial survey , 2008, 0801.4914.
[29] Francesco Mainardi,et al. The -Wright Function in Time-Fractional Diffusion Processes: A Tutorial Survey , 2010, 1004.2950.