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A. A. Kilbas and S. A. Marzan, “Nonlinear Differential Equations with the Caputo Fractional Derivative in the Space of Continuously Differentiable Functions,” Differential Equations, Vol. 41, No. 1, 2005, pp. 84-89. doi:10.1007/s10625-005-0137-y

has been cited by the following article:

• TITLE: Existence and Uniqueness of Solutions to Impulsive Fractional Integro-Differential Equations with Nonlocal Conditions

  AUTHORS: Zhenghui Gao, Liu Yang, Gang Liu

  KEYWORDS: Caputo Fractional Derivative; Impulses; Nonlocal Conditions; Existence; Uniqueness; Fixed Point

  JOURNAL NAME: Applied Mathematics, Vol.4 No.6, June 3, 2013

  ABSTRACT: In this article, by using Schaefer fixed point theorem, we establish sufficient conditions for the existence and uniqueness of solutions for a class of impulsive integro-differential equations with nonlocal conditions involving the Caputo fractional derivative.