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Nonlocal impulsive problems for fractional differential equations with time-varying generating operators in Banach spaces

Wang J., Yang Y., Wei W.

Opuscula Mathematica

2010

Vol. 30, no. 3

361-381

In this paper, we study the existence and uniqueness of the PC-mild solution for a class of impulsive fractional differential equations with time-varying generating operators and nonlocal conditions. By means of the generalized Ascoli-Arzela Theorem given by us and the fixed point theorem, some existence and uniqueness results are obtained. Finally, an example is given to illustrate the theory.