Existence and uniqueness of mild solutions to impulsive fractional differential equations

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Approximate Controllability of Fractional Differential Equations with State-Dependent Delay (2012, background): “The theory of fractional differential equations is emerging as an important area of investigation since it is richer in problems in comparison with corresponding theory of classical differential equations [14,15].”
On a new class of abstract impulsive functional differential equations of fractional order (2014, background): “Recently, the study of fractional differential equations with impulses has been studied by many authors (see [17, 18, 19, 20, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 38]).”