LI Jing , GUO Bo-Ling . PARAMETER IDENTIFICATION IN FRACTIONAL DIFFERENTIAL EQUATIONS[J]. Acta mathematica scientia, Series B, 2013 , 33(3) : 855 -864 . DOI: 10.1016/S0252-9602(13)60045-4

[1] Berkowitz B, Scher H, Silliman S E. Anomalous transport in laboratory-scale heterogeneous porusmedia. Water Resour Res, 2002, 36: 149–158

[2] Scher H, Montroll E W. Anomalous transit-time dispersion in amorphous solids. Phys Rev B, 1975, 12: 455–477

[3] Adams E E, Gelhar L W. Field study of dispersion in heterogeneous aquifer. Water Resour Res, 1992, 28: 3293–3307

[4] Chechkin A V, Gonchar V Y, Szydlowski M. Fractional kinetics for relaxation and superdiffusion in a magnetic field. Phys Plasma, 2002, 9: 78–88

[5] Mainardi F. Fractional diffusive waves in viscoelastic solids//Wegner J L, Norwood F R. Nonlinear Waves in Solids. Fairfield: ASME/AMR, 1995: 93–97

[6] Mandelbrojt S. The Fractal Geometry of Nature. New York: Freeman, 1982

[7] Metzler R, Klafter J. The random walk´s guide to anomalous diffusion: A fractional dynamics approach. Phys Rep, 2000, 339: 1–77

[8] Shen G J, Chen C, Yan L T. Remarks on sub-fractional Bessel processes. Acta Mathematica Scientia, 2011, 31: 1860–1876

[9] Nigmatullin R R. The realization of the generalized transfer equation in a medium with fractal geometry. Phy Stat Sol B, 1986, 133: 425–430

[10] Klibas A A, Srivastava H M, Trujillo J J. Theory and Applications of Fractional Differential Equations. Amsterdam: Elsevier, 2006

[11] Podlubny I. Fractional Differential Equations. San Diego: Academic, 1999

[12] Guo B L, Pu X K, Huang F H. Fractional Partial Differential Equations and their Numerical Solutions (in Chinese). Beijing: Science Press, 2011

[13] Sakamoto K, Yamamoto M. Initial value/boundary value problems for fractional diffusion-wave equa-tions and applications to some inverse problems. http://www.sciencedirect.com/science/article/pii/S0022247X11003970

[14] Cheng J, et al. Uniqueness in an inverse problem for a one-dimensional fractional diffusion equation. Inverse Probl, 2009, 25. http://iopscience.iop.org/0266-5611/25/11/115002/

[15] Liu J J, Yamamoto M. A backward problem for the time-fractional diffusion equation. Appl Anal, 2010, 89: 1769–1788

[16] Murio D A,Mej´?a C E. Source terms identification for time fractional diffusion equation. Revista Colombiana de Matem´as, 2008, 42: 25–46

[17] Nakagawa J, Sakamoto K, Yamamoto M. Overview to mathematical analysis for fractional diffusion equations-new mathematical aspects motivated by industrial collaboration. J Math Ind, 2010, 2: 99–108

[18] Tuan V K. Inverse problem for fractional diffusion equation [J]. Frac Calc Appl Anal, 2011, 14: 31–55

[19] Zhang Y, Xu X. Inverse source problem for a fractional diffusion equation. Inverse Probl, 2011, 27.
http://iopscience.iop.org/0266-5611/27/3/035010

[20] Zelttl A. Mathematical surveys and monographs. Vol 121. Sturm-Liouville Theory. Americal Mathematical Society, 2005

[21] Umarov S R, Saidamatov E M. A generalization of Duhamels principle for differential equations of fractional order. Dokl Math, 2007, 75: 94–96