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Existence of Mild Solutions for an Impulsive Fractional Integro-differential Equations with Non-local Condition

机译:非局部条件的脉冲分数积分微分方程的温和溶液存在

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In this paper we are interested in studying the existence of solutions for a controlled impulsive fractional evolution equations. We use several tools such as fractional calculus, fixed point theorems and the theory of semigroup. We first give some preliminaries and notations, the second part of the work we provide an existence result for our problem and in the final section, we give some examples to show the importance of our results.
机译:在本文中,我们有兴趣研究对受控脉冲分数展开方程的解决方案的存在。我们使用多种工具,如分数微积分,定点定理和半群理论。我们首先给出一些预备和符号,我们的工作中的第二部分我们提供了我们问题的存在结果,并在最后一节中,我们向一些例子展示了我们的结果的重要性。

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