The nonlinear fractional differential equation with nonlocal fractional integro-differential boundary conditions in Banach spaces is studied, an existence result is obtained by using the method associated with the technique of measures of noncompactness and an appropriate fixed point theorem. An example is given to illustrate the theory.

中文翻译：

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Banach空间中具有非局部分数阶积分-微分边界条件的非线性分数阶微分方程的存在性结果

研究了具有Banach空间中非局部分数阶积分-微分边界条件的非线性分数阶微分方程，利用与非紧致性度量技术相关的方法和适当的不动点定理，获得了存在性结果。举例说明了该理论。