Approximate controllability of nonlinear fractional impulsive stochastic differential equations with nonlocal conditions and infinite delay (Q2809923)
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scientific article; zbMATH DE number 6587634
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Approximate controllability of nonlinear fractional impulsive stochastic differential equations with nonlocal conditions and infinite delay |
scientific article; zbMATH DE number 6587634 |
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30 May 2016
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approximate controllability
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fixed point principle
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mild solution
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nonlocal conditions
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fractional impulsive integro-differential system
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infinite delay
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Approximate controllability of nonlinear fractional impulsive stochastic differential equations with nonlocal conditions and infinite delay (English)
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The authors first prove existence of a mild solution with discontinuous paths in a Hilbert space to a fractional impulsive integro-differential system with nonlocal conditions, infinite delay and some control function. Using fractional calculus, the Krasnoselskii-Schaefer fixed point theorem and stochastic analysis, they show the approximate controllability of the system under an additional assumption.
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