BOUNDARY VALUE PROBLEMS FOR DIFFERENTIAL EQUATIONS WITH FRACTIONAL ORDER
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[1] I. Podlubny. Fractional differential equations , 1998 .
[2] L. Gaul,et al. Damping description involving fractional operators , 1991 .
[3] V. Lakshmikantham,et al. General uniqueness and monotone iterative technique for fractional differential equations , 2008, Appl. Math. Lett..
[4] R. Metzler,et al. Relaxation in filled polymers: A fractional calculus approach , 1995 .
[5] T F Nonnenmacher,et al. A fractional calculus approach to self-similar protein dynamics. , 1995, Biophysical journal.
[6] A. Kilbas,et al. Nonlinear differential equations with the Caputo fractional derivative in the space of continuously differentiable functions , 2005 .
[7] Kai Diethelm,et al. Numerical solution of fractional order differential equations by extrapolation , 1997, Numerical Algorithms.
[8] Miao Changxing,et al. FRACTIONAL ORDER EVOLUTION EQUATION INTERPOLATING BOTH HEAT AND WAVE EQUATION , 1997 .
[9] Ahmed M. A. El-Sayed,et al. Nonlinear functional differential equations of arbitrary orders , 1998 .
[10] N. Ford,et al. Analysis of Fractional Differential Equations , 2002 .
[11] R. Hilfer. Applications Of Fractional Calculus In Physics , 2000 .
[12] K. B. Oldham,et al. The Fractional Calculus: Theory and Applications of Differentiation and Integration to Arbitrary Order , 1974 .
[13] Francesco Mainardi,et al. Fractional Calculus: Some Basic Problems in Continuum and Statistical Mechanics , 2012, 1201.0863.
[14] L. Byszewski. Theorems about the existence and uniqueness of solutions of a semilinear evolution nonlocal Cauchy problem , 1991 .
[15] A. El-Sayed,et al. Fractional-order diffusion-wave equation , 1996 .
[16] Alan D. Freed,et al. On the Solution of Nonlinear Fractional-Order Differential Equations Used in the Modeling of Viscoplasticity , 1999 .
[17] Christopher C. Tisdell,et al. On the solvability of nonlinear first-order boundary-value problems. , 2006 .
[18] V. Lakshmikantham,et al. Theorem about the existence and uniqueness of a solution of a nonlocal abstract Cauchy problem in a Banach space , 1991 .
[19] E. Kaufmann,et al. Positive solutions of a boundary value problem for a nonlinear fractional differential equation. , 2008 .
[20] H. Srivastava,et al. THEORY AND APPLICATIONS OF FRACTIONAL DIFFERENTIAL EQUATIONS. NORTH-HOLLAND MATHEMATICS STUDIES , 2006 .
[21] V. Lakshmikantham,et al. Basic theory of fractional differential equations , 2008 .
[22] Guozhu Gao,et al. Existence of fractional differential equations , 2005 .
[23] Shaher Momani,et al. Some analytical properties of solutions of differential equations of noninteger order , 2004, Int. J. Math. Math. Sci..
[24] H. Srivastava,et al. Theory and Applications of Fractional Differential Equations , 2006 .
[25] V. Lakshmikantham,et al. THEORY OF FRACTIONAL DIFFERENTIAL INEQUALITIES AND APPLICATIONS , 2007 .
[26] Luigi Rodino,et al. Existence and Uniqueness for a Nonlinear Fractional Differential Equation , 1996 .
[27] I. Podlubny,et al. Analogue Realizations of Fractional-Order Controllers , 2002 .
[28] O. Marichev,et al. Fractional Integrals and Derivatives: Theory and Applications , 1993 .