Existence and uniqueness of mild solution for nonlocal impulsive integro-differential equation with state dependent delay
نویسندگان
چکیده
منابع مشابه
Existence of Mild Solutions for Impulsive Fractional Integro-Differential Inclusions with State-Dependent Delay
The notion of fractional derivatives, as is long familiar, has its commencement in an inquiry postured amid a correspondence in the middle of Leibnitz and L’hospital. The five millennium extremely ancient inquiry has turned into a significant zone of exploration. As of late, it has been demonstrated that the differential designs including derivatives of fractional order emerge in numerous techn...
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In this paper, we establish the existence of local and global mild solution for an impulsive fractional integro-differential equation with state dependent delay subject to nonlocal initial condition. The existence results for local mild solution are proved by applying the Schauder, nonlinear Larey Schauder alternative and Banach fixed point theorems. Then, we prove global existence result. An e...
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ژورنال
عنوان ژورنال: Fractional Differential Calculus
سال: 2014
ISSN: 1847-9677
DOI: 10.7153/fdc-04-08