Existence of Solutions for Impulsive Neutral Integro-Differential Inclusions with Nonlocal Initial Conditions via Fractional Operators

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Impulsive mild solutions for semilinear differential inclusions with nonlocal conditions in Banach spaces (2012, background): “[7]), and on the other hand the impulsive model is appropriate for describing real phenomena where changes occur suddenly [8–12].”
Controllability results for fractional order neutral functional differential inclusions with infinite delay (2017, unknown): “Since the appearance of this paper, several papers have addressed the issue of existence and uniqueness results for various types of nonlinear diﬀerential equations [13, 14, 20, 36, 23, 33, 55].”
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]).”