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EXISTENCE OF MILD SOLUTIONS TO NEUTRAL FRACTIONAL DIFFERENTIAL EQUATIONS WITH INFINITE DELAY
Authors:Qi Wang  Zhijie Wang  Minmin Ding  Hongyan Zhang
Institution:(School of Mathematical Sciences, Anhui University, Hefei 230039)
Abstract:In this paper, we consider the existence of mild solution to a class of neutral fractional differential equations with infinite delay. By means of fixed points methods, we obtain some sufficient conditions for the existence and uniqueness of mild solutions, which extend some known results.
Keywords:fractional neutral differential equation  infinite delay  mild solution
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