On Existence Results for Impulsive Fractional Neutral Stochastic Integro-Differential Equations With Nonlocal and State-Dependent Delay Conditions
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Abstract
This manuscript deals with a new set of sufficient conditions for the existence of solutions for a class of impulsive fractional neutral stochastic integro-differential systems (IFNSIDS) with nonlocal conditions (NLCs) and state-dependent delay (SDD) in Hilbert spaces. An example is provided to illustrate the obtained theory.
Description
Mani, Mallika Arjunan/0000-0002-3358-0780; P, Kalamani/0009-0005-7777-6258
Keywords
Fractional Differential Equations, Stochastic Differential System, Non-Local Condition, State-Dependent Delay, Fixed Point Theorem, Semigroup Theory, Artificial intelligence, Class (philosophy), Stochastic partial differential equation, Set (abstract data type), Theory and Applications of Fractional Differential Equations, Mathematical analysis, Engineering, Differential equation, State (computer science), FOS: Mathematics, Anomalous Diffusion Modeling and Analysis, Impulsive Differential Equations, Algebra and Number Theory, Mathematical economics, Applied Mathematics, State dependent, Hilbert space, Applied mathematics, Computer science, Programming language, Algorithm, Control and Systems Engineering, Modeling and Simulation, Physical Sciences, Analysis and Control of Distributed Parameter Systems, Analysis, Mathematics, Nonlinear Systems, Ordinary differential equation, fixed point theorem, state-dependent delay, Functional-differential equations in abstract spaces, fractional differential equations, semigroup theory, Neutral functional-differential equations, stochastic differential system, non-local condition, Functional-differential equations with fractional derivatives
Fields of Science
01 natural sciences, 0101 mathematics
Citation
Kalamani, P...et al. (2016). On existence results for impulsive fractional neutral stochastic integro-differential equations with nonlocal and state-dependent delay conditions. Advances In Difference Equations. http://dx.doi.org/10.1186/s13662-016-0885-4
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20
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2016
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1
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CrossRef : 14
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