Fractional Relaxation-Oscillation and Fractional Diffusion-Wave Phenomena

[1]  George M. Zaslavsky,et al.  Fractional kinetic equation for Hamiltonian chaos , 1994 .

[2]  Francesco Mainardi,et al.  Fractional relaxation in anelastic solids , 1994 .

[3]  V. Kiryakova.  Generalized Fractional Calculus and Applications , 1993 .

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

[5]  M. Caputo.  The Splitting of seismic rays due to dispersion in the Earth’s interior , 1993 .

[6]  Martin Ochmann,et al.  Representation of the absorption of nonlinear waves by fractional derivatives , 1993 .

[7]  K. Miller,et al.  An Introduction to the Fractional Calculus and Fractional Differential Equations , 1993 .

[8]  R. Lenormand.  Use of Fractional Derivatives for Fluid Flow in Heterogeneous Media , 1992 .

[9]  Massimiliano Giona,et al.  Fractional diffusion equation for transport phenomena in random media , 1992 .

[10]  W. Glöckle,et al.  A fractional model for mechanical stress relaxation , 1991 .

[11]  Nobumasa Sugimoto.  Burgers equation with a fractional derivative; hereditary effects on nonlinear acoustic waves , 1991, Journal of Fluid Mechanics.

[12]  R. Gorenflo,et al.  Abel Integral Equations: Analysis and Applications , 1991 .

[13]  Roberto Monaco,et al.  Waves and Stability in Continuous Media , 1991 .

[14]  Hari M. Srivastava,et al.  Univalent Functions, Fractional Calculus, and Their Applications , 1990, The Mathematical Gazette.

[15]  T F Nonnenmacher,et al.  Fractional integral and differential equations for a class of Levy-type probability densities , 1990 .

[16]  U Jin Choi,et al.  Fractional order Volterra equations with applications to elasticity , 1989 .

[17]  Alain Pumir,et al.  Anomalous diffusion of tracer in convection rolls , 1989 .

[18]  W. Schneider,et al.  Fractional diffusion and wave equations , 1989 .

[19]  E. Bonetti,et al.  The application of real-order derivatives in linear viscoelasticity , 1988 .

[20]  A. Mchugh,et al.  Formation of fibrous crystals in flowing blends of polyethylene melts , 1987 .

[21]  R. Nigmatullin.  The Realization of the Generalized Transfer Equation in a Medium with Fractal Geometry , 1986, January 1.

[22]  W. Wyss.  The fractional diffusion equation , 1986 .

[23]  Raoul R. Nigmatullin,et al.  On the Theory of Relaxation for Systems with “Remnant” Memory , 1984 .

[24]  R. Koeller.  Applications of Fractional Calculus to the Theory of Viscoelasticity , 1984 .

[25]  R. Bagley,et al.  On the Appearance of the Fractional Derivative in the Behavior of Real Materials , 1984 .

[26]  F. Mainardi,et al.  On Nonlinear Waves in Liquid-Filled Elastic Tubes , 1983 .

[27]  T. Wright,et al.  Nonlinear Deformation Waves , 1981 .

[28]  A. Mcbride,et al.  Fractional calculus and integral transforms of generalized functions , 1979 .

[29]  S. Orszag,et al.  Advanced Mathematical Methods For Scientists And Engineers , 1979 .

[30]  Lokenath Debnath,et al.  Introduction to the Theory and Application of the Laplace Transformation , 1974, IEEE Transactions on Systems, Man, and Cybernetics.

[31]  B. Ross,et al.  Fractional Calculus and Its Applications , 1975 .

[32]  M. Caputo.  Vibrations of an infinite viscoelastic layer with a dissipative memory , 1974 .

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

[34]  Francesco Mainardi,et al.  Linear models of dissipation in anelastic solids , 1971 .

[35]  J. Mikusiński,et al.  On the function whose Laplace-transform is $e^{-s^{α}} , 1959 .

[36]  A. Erdélyi,et al.  Tables of integral transforms , 1955 .

[37]  A. Erdélyi,et al.  Higher Transcendental Functions , 1954 .

[38]  B. Gross,et al.  On Creep and Relaxation , 1947 .