On Fractional Neutral Integro-Differential Systems With State-Dependent Delay and Non-Instantaneous Impulses
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Date
2015
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Springeropen
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GOLD
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Abstract
In this manuscript, we work to actualize the Darbo Banas and Goebel in Measure of Noncompactness in Banach Space. Lecture Notes in Pure and Applied Mathematics, 1980) fixed point theorem (FPT) coupled with the Hausdorff measure of non-compactness to analyze the existence results for an impulsive fractional neutral integro-differential equation (IFNIDE) with state- dependent delay (SDD) and non- instantaneous impulses (NII) in Banach spaces. Finally, examples are offered to demonstrate the concept.
Description
P, Kalamani/0009-0005-7777-6258; Mani, Mallika Arjunan/0000-0002-3358-0780
Keywords
Fractional Order Differential Equations, Non-Instantaneous Impulse Conditions, State-Dependent Delay, Fixed Point Theorem, Semigroup Theory, Impulsive Differential Equations, Algebra and Number Theory, Applied Mathematics, Partial differential equation, Applied mathematics, Theory and Applications of Fractional Differential Equations, Mathematical analysis, Algorithm, Engineering, Differential equation, Control and Systems Engineering, Modeling and Simulation, Physical Sciences, State (computer science), FOS: Mathematics, Analysis and Control of Distributed Parameter Systems, Analysis, Mathematics, Anomalous Diffusion Modeling and Analysis, Ordinary differential equation, fixed point theorem, state-dependent delay, fractional-order differential equations, Integro-ordinary differential equations, Functional-differential equations with impulses, semigroup theory, non-instantaneous impulse conditions, Functional-differential equations with fractional derivatives
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Citation
Suganya, S...et al. (2015). On fractional neutral integro-differential systems with state-dependent delay and non-instantaneous impulses. Advance in Difference Equations. http://dx.doi.org/10.1186/s13662-015-0709-y
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OpenCitations Citation Count
25
Source
Advances in Difference Equations
Volume
2015
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CrossRef : 21
Scopus : 38
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