Well Posedness of Second-Order Impulsive Fractional Neutral Stochastic Differential Equations
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Date
2021
Journal Title
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Volume Title
Publisher
Amer inst Mathematical Sciences-aims
Open Access Color
GOLD
Green Open Access
No
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Abstract
In this manuscript, we investigate a class of second-order impulsive fractional neutral stochastic differential equations (IFNSDEs) driven by Poisson jumps in Banach space. Firstly, sufficient conditions of the existence and the uniqueness of the mild solution for this type of equations are driven by means of the successive approximation and the Bihari's inequality. Next we get the stability in mean square of the mild solution via continuous dependence on initial value.
Description
Keywords
Stochastic Fractional Differential Equations, Bihari'S Inequality, Successive Approximation, Poisson Jumps, Artificial intelligence, Class (philosophy), Economics, Space (punctuation), Theory and Applications of Fractional Differential Equations, Mathematical analysis, Differential equation, Machine learning, QA1-939, FOS: Mathematics, Stability (learning theory), poisson jumps, Biology, Anomalous Diffusion Modeling and Analysis, C0-semigroup, Order (exchange), successive approximation, Impulsive Differential Equations, Banach space, Stochastic differential equation, Ecology, Applied Mathematics, Statistics, Applied mathematics, Computer science, Operating system, Initial value problem, Modeling and Simulation, FOS: Biological sciences, Physical Sciences, Poisson distribution, bihari's inequality, Uniqueness, stochastic fractional differential equations, Type (biology), Mathematics, Finance, Stochastic functional-differential equations, Fractional ordinary differential equations, Poisson jumps, Stochastic partial differential equations (aspects of stochastic analysis), Bihari's inequality, Functional-differential equations with fractional derivatives
Fields of Science
01 natural sciences, 0101 mathematics
Citation
Kasinathan, Ramkumar; Baleanu, Dumitru; Annamalai, Anguraj (2021). "Well posedness of second-order impulsive fractional neutral stochastic differential equations", AIMS Mathematics, Vol. 6, No. 9, pp. 9222-9235.
WoS Q
Q1
Scopus Q
Q1
OpenCitations Citation Count
2
Source
AIMS Mathematics
Volume
6
Issue
9
Start Page
9222
End Page
9235
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Citations
CrossRef : 1
Scopus : 3
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Mendeley Readers : 2
SCOPUS™ Citations
3
checked on Feb 23, 2026
Web of Science™ Citations
2
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2
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