SAMKO S G, KILBAS A A, MARICHEV O L. Fractional Integrals and Derivatives (Theory and Applications)[M]. Switzerland:Gordon and Breach Science Publishers, 1993.
XING Y Y, YAN Y B. A Higher Order Numerical Method for Time Fractional Partial Differential Equations with Nonsmooth Data[J]. Journal of Computational Physics, 2018, 357:305-323. doi: 10.1016/j.jcp.2017.12.035
罗丽容, 周军.一类带有分数型交错扩散的捕食-食饵模型的多解性研究[J].西南大学学报(自然科学版), 2017, 39(3):108-114.
DELBOSCO D, RODINO L. Existence and Uniqueness for a Nonlinear Fractional Differential Equation[J]. Journal of Mathematical Analysis & Applications, 1996, 204(2):609-625.
BAYOUR B, TORRES D F M. Existence of Solution to a Local Fractional Nonlinear Differential Equation[J]. Journal of Computational and Applied Mathematics, 2017, 312:127-133. doi: 10.1016/j.cam.2016.01.014
郭彩霞, 郭建敏, 田海燕, 等.一类分数阶奇异q-差分方程边值问题解的存在性和唯一性[J].西南师范大学学报(自然科学版), 2018, 43(12):6-10.
MAHMUDOV N, UNUL S. On Existence of BVP's for Impulsive Fractional Differential Equations[J]. Advances in Difference Equations, 2017, 2017:15. doi: 10.1186/s13662-016-1063-4
BENCHOHRA M, HENDERSON J, NTOUYAS S. Impulsive Differential Equations and Inclusions[M]. New York:Hindawi Publishing Corporation, 2006.
SAMOILENKO A M, PERESTYUK N A. Impulsive Differential Equations[M]. Singapore:World Scientific, 1995.
WANG S A. The Existence of Affine-Periodic Solutions for Nonlinear Impulsive Differential Equations[J]. Boundary Value Problems, 2018, 2018(1):113.
HU Y X, LI F. Existence of Solutions for the Nonlinear Multiple Base Points Impulsive Fractional Differential Equations with the Three-Point Boundary Conditions[J]. Advances in Difference Equations, 2017, 2017(1):55. doi: 10.1186/s13662-017-1111-8
WANG Q, WEI T Y. On the Natural Solution of Generalized Anti-periodic BVP of Impulsive Fractional Differential Equations[J]. Mathematic Applicata, 2017, 30(1):78-89.
BAI Z B, DONG X Y, YIN C. Existence Results for Impulsive Nonlinear Fractional Differential Equation with Mixed Boundary Conditions[J]. Boundary Value Problems, 2016, 2016(1):63. doi: 10.1186/s13661-016-0573-z
KILBAS A A, SRIVASTAVA H M, TRUJILLO J J. Theory and Applications of Fractional Differential Equations[M]. Amsterdam:Elsevier, 2006.
张恭庆, 林源渠.泛函分析讲义(上册)[M].北京:北京大学出版社, 2006.
郭大钧.非线性泛函分析[M]. 3版.北京:高等教育出版社, 2015.