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Existence of solutions for the integral boundary value problems of fractional order impulsive differential equations
Authors:Xiping Liu  Mei Jia
Institution:College of Science, University of Shanghai for Science and Technology, Shanghai, China
Abstract:In this paper, we study a class of integral boundary value problem for fractional order impulsive differential equations, where both the nonlinearity and the impulsive terms contain the fractional order derivatives. By using fixed‐point theorems, the existence results of solution for the boundary value problem are established. Finally, some examples are presented to illustrate the existence results. Copyright © 2015 John Wiley & Sons, Ltd.
Keywords:Caputo derivative  fractional differential equation  impulsive  integral boundary value problem  fixed  subclass34B15  26A33
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