EXISTENCE AND UNIQUENESS OF SOLUTIONS TO IMPULSIVE FRACTIONAL DIFFERENTIAL EQUATIONS
暂无分享,去创建一个
[1] T F Nonnenmacher,et al. A fractional calculus approach to self-similar protein dynamics. , 1995, Biophysical journal.
[2] A. Kilbas,et al. Nonlinear differential equations with the Caputo fractional derivative in the space of continuously differentiable functions , 2005 .
[3] Mouffak Benchohra,et al. Existence results for fractional order semilinear functional differential equations with nondense domain , 2010 .
[4] N. Ford,et al. Analysis of Fractional Differential Equations , 2002 .
[5] Mouffak Benchohra,et al. Existence results for boundary value problems with non-linear fractional differential equations , 2008 .
[6] A. Babakhani,et al. Existence of Positive Solutions for N-term Non-autonomous Fractional Differential Equations , 2005 .
[7] Johnny Henderson,et al. Existence results for fractional order functional differential equations with infinite delay , 2008 .
[8] K. Miller,et al. An Introduction to the Fractional Calculus and Fractional Differential Equations , 1993 .
[9] Shaher Momani,et al. Some analytical properties of solutions of differential equations of noninteger order , 2004, Int. J. Math. Math. Sci..
[10] V. Lakshmikantham,et al. Theorem about the existence and uniqueness of a solution of a nonlocal abstract Cauchy problem in a Banach space , 1991 .
[11] K. B. Oldham,et al. The Fractional Calculus: Theory and Applications of Differentiation and Integration to Arbitrary Order , 1974 .
[12] L. Byszewski. Theorems about the existence and uniqueness of solutions of a semilinear evolution nonlocal Cauchy problem , 1991 .
[13] Luigi Rodino,et al. Existence and Uniqueness for a Nonlinear Fractional Differential Equation , 1996 .
[14] Tingting Qiu,et al. Positive solutions for boundary value problem of nonlinear fractional differential equation. , 2008 .
[15] E. Kaufmann,et al. Positive solutions of a boundary value problem for a nonlinear fractional differential equation. , 2008 .
[16] L. Gaul,et al. Damping description involving fractional operators , 1991 .
[17] Existence of positive solutions for multi-term non-autonomous fractional differential equations with polynomial coefficients. , 2006 .
[18] I. Podlubny,et al. Analogue Realizations of Fractional-Order Controllers , 2002 .
[19] A. El-Sayed,et al. Fractional-order diffusion-wave equation , 1996 .
[20] Francesco Mainardi,et al. Fractional Calculus: Some Basic Problems in Continuum and Statistical Mechanics , 2012, 1201.0863.
[21] O. Marichev,et al. Fractional Integrals and Derivatives: Theory and Applications , 1993 .
[22] I. Podlubny,et al. Physical interpretation of initial conditions for fractional differential equations with Riemann-Liouville fractional derivatives , 2005, math-ph/0512028.
[23] Kai Diethelm,et al. Numerical solution of fractional order differential equations by extrapolation , 1997, Numerical Algorithms.
[24] Igor Podlubny,et al. Geometric and Physical Interpretation of Fractional Integration and Fractional Differentiation , 2001, math/0110241.
[25] Sihua Liang,et al. Positive solutions for boundary value problems of nonlinear fractional differential equation , 2009 .
[26] Miao Changxing,et al. FRACTIONAL ORDER EVOLUTION EQUATION INTERPOLATING BOTH HEAT AND WAVE EQUATION , 1997 .
[27] Varsha Daftardar-Gejji,et al. Positive solutions of a system of non-autonomous fractional differential equations , 2005 .
[28] Alan D. Freed,et al. On the Solution of Nonlinear Fractional-Order Differential Equations Used in the Modeling of Viscoplasticity , 1999 .
[29] Rabha W. Ibrahim,et al. Existence Results for Fractional Boundary Value Problem , 2008 .
[30] R. Hilfer. Applications Of Fractional Calculus In Physics , 2000 .
[31] H. Srivastava,et al. THEORY AND APPLICATIONS OF FRACTIONAL DIFFERENTIAL EQUATIONS. NORTH-HOLLAND MATHEMATICS STUDIES , 2006 .
[32] G. G. Stokes. "J." , 1890, The New Yale Book of Quotations.
[33] Ahmed M. A. El-Sayed,et al. Nonlinear functional differential equations of arbitrary orders , 1998 .
[34] I. Podlubny. Fractional differential equations , 1998 .
[35] R. Metzler,et al. Relaxation in filled polymers: A fractional calculus approach , 1995 .
[36] H. Srivastava,et al. Theory and Applications of Fractional Differential Equations , 2006 .
[37] H. Kober. ON FRACTIONAL INTEGRALS AND DERIVATIVES , 1940 .
[38] Guozhu Gao,et al. Existence of fractional differential equations , 2005 .