[1] Diethelm K, Freed A D. On the solution of nonlinear fractional order differential equations used in the modeling of viscoelasticity//Keil F, Mackens W, Voss H, et al. Scientific Computing in Chemical Engineering II-Computational Fluid Dynamics, Reaction Engineering and Molecular Properties. Heidelberg:Springer-Verlag, 1999:217-224
[2] Gaul L, Klein P, Kempfle S. Damping description involving fractional operators. Mech Syst Signal Process, 1991, 5:81-88
[3] Glockle W G, Nonnenmacher T F. A fractional calculus approach of self-similar protein dynamics. Biophys J, 1995, 68:46-53
[4] Hilfer R. Applications of Fractional Calculus in Physics. Singapore:World Scientific, 2000
[5] Mainardi F. Fractional calculus:Some basic problems in continuum and statistical mechanics//Carpinteri A, Mainardi F. Fractals and Fractional Calculus in Continuum Mechanics. New York:Springer-Verlag, 1997:291-348
[6] Metzler F, Schick W, Kilian H G, Nonnenmacher T F. Relaxation in filled polymers:A fractional calculus approach. J Chem Phys, 1995, 103:7180-7186
[7] Kilbas A A, Srivastava Hari M, Juan Trujillo J. Theory and Applications of Fractional Differential Equations. Amsterdam:Elsevier Science, 2006
[8] Miller K S, Ross B. An Introduction to the Fractional Calculus and Differential Equations. New York:John Wiley, 1993
[9] Podlubny I. Fractional Differential Equations. San Diego:Academic Press, 1999
[10] Lakshmikantham V, Leela S, Vasundhara Devi J. Theory of Fractional Dynamic Systems. Cambridge:Cambridge Academic Publishers, 2009
[11] Chang Y K, Nieto J J. Existence of solutions for impulsive neutral integrodifferential inclusions with nonlocal initial conditions via fractional operators. Numerical Func Anal Optim, 2009, 30:227-244
[12] Zhou Y, Jiao F. Nonlocal Cauchy problem for fractional evolution equations. Nonlinear Anal:RWA, 2010, 11(5):4465-4475
[13] Zhou Y, Shen X H, Zhang L. Cauchy problem for fractional evolution equations with Caputo derivative. Eur Phys J Special Topics, 2013, 222:1749-1765
[14] El-Sayed A M A. Fractional order diffusion-wave equations. Internat J Theoret Phys, 1996, 35:311-322
[15] Mainardi F, Paradisi P, Gorenflo R. Probability distributions generated by fractional diffusion equations//Kertesz J, Kondor I. Econophysics:An Emerging Science. Dordrecht:Kluwer, 2000
[16] Meerschaert M M, Benson D A, Scheffler H, Baeumer B. Stochastic solution of space-time fractional diffusion equations. Phys Rev E, 2012, 65:1103-1106
[17] Schneider W R,Wayes W. Fractional diffusion and wave equation. J Math Phys, 1989, 30:134-144
[18] Pazy A. Semigroups of Linear Operators and Applications to Partial Differential Equations. New York:Springer, 1983
[19] Baeumer B, Kurita S, Meerschaert M M. Inhomogeneous fractional diffusion equations. J Frac Appl Anal, 2005, 8:375-397
[20] Byszewski L. Theorems about existence and uniqueness of solutions of a semi-linear evolution nonlocal Cauchy problem. J Math Anal Appl, 1991, 162:494-505
[21] Byszewski L, Lakshmikantham V. Theorem about the existence and uniqueness of a solution of a nonlocal abstract Cauchy problem in a Banach space. Appl Anal, 1991, 40:11-19
[22] Fu X,Ezzinbi K. Existence of solutions for neutral differential evolution equations with nonlocal conditions. Nonlinear Anal, 2003, 54:215-227
[23] El-Borai M M. Some probability densities and fundamental solutions of fractional evolution equations. Chaos Solutions Fractals, 2004, 149:823-831
[24] Deng J Q, Ma L F. Existence and uniqueness of solutions of initial value problems for nonlinear fractional differential equations. Appl Math Letter, 2010, 23:676-680
[25] Deng J Q, Qu H L. New uniqueness results of solutions for fractional differential equations with infinite delay. Comput Math Appl, 2010, 60:2253-2259
[26] Deng J Q, Deng Z M, Yang L X. An existence and uniqueness result for fractional order semilinear functional differential equations with nondense domain. Appl Math Letters, 2011, 24:924-928
[27] Deng J Q, Deng Z M. Existence of solutions of initial value problems for nonlinear fractional differential equations. Appl Math Lett, 2014, 32:6-12