共 14 条
- [1] Bondarenko A.N., Ivashchenko D.S., Numerical methods for solving boundary-value problems for the time-fractional diffusion equation, Abstracts of the International Conference "Differential Equations, Theory of Functions, and Applications" Dedicated to the 100th Anniversary of Birthday of Academician I. N. Vekua, pp. 556-557
- [2] Samko S.G., Kilbas A.A., Marichev O.I., Integrals and Derivatives of Fractional Order and Some Their Applications [in Russian], (1987)
- [3] Abramowitz M., Stegun I., Handbook of Mathematical Functions with Formulas, Graphs, and Mathematical Tables, (1972)
- [4] Fil'shtinskii L.A., Time-periodic homogeneous solutions of the heat conduction equation for an anisotropic layer in ℝ<sup>3</sup>, Mat. Met. Fiz.-Mekh. Polya, 46, 2, pp. 147-154, (2003)
- [5] Carpinteri A., Chiaia B., Cornetti P., A fractal theory for the mechanics of elastic materials, Mater. Sci. Eng., 365, 1, pp. 235-240, (2004)
- [6] Gorenflo R.F., Mainardi F., Moretti D., Paradisi P., Time-fractional diffusion: a discrete random walk approach, Nonlinear Dynamics, 29, 1-4, pp. 129-143, (2002)
- [7] Ahn J., Kang S., Kwon Y., A flexible inverse Laplace transform algorithm and its application, Computing, 71, 2, pp. 115-131, (2003)
- [8] Kilbas A.A., Srivastava H.M., Trujillo J.J., Theory and Applications of Fractional Differential Equations, (2006)
- [9] Li B., Wang J., Anomalous heat conduction and anomalous diffusion in the one dimensional systems, Phys. Rev. Lett., 91, 4, (2003)
- [10] Mainardi F., Luchko Y., Pagnini G., The fundamental solution of the space-time fractional diffusion equation, Fractional Calculus Appl. Anal., 4, 2, pp. 153-192, (2001)