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- Title
A note on non-instantaneous impulsive fractional neutral integro-differential systems with state-dependent delay in Banach spaces.
- Authors
Suganya, Selvaraj; Baleanu, Dumitru; Kalamani, Palaniyappan; Arjunan, Mani Mallika
- Abstract
In this research, we establish the existence results for non-instantaneous impulsive fractional neutral integro-differential systems with state-dependent delay in Banach space. By utilizing the Banach contraction principle and condensing fixed point theorem coupled with semigroup theory, we build up the desired results. To acquire the main results, our working concepts are that the functions deciding the equation fulfill certain Lipschitz conditions of local type which is similar to the hypotheses [5]. In the end, an example is given to show the abstract theory.
- Subjects
BANACH spaces; HYPOTHESIS; EXTERIOR differential systems; INTEGRO-differential equations; FIXED point theory
- Publication
Journal of Computational Analysis & Applications, 2018, Vol 25, Issue 4, p603
- ISSN
1521-1398
- Publication type
Article