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Approximate Controllability of Semilinear Stochastic Integrodifferential System with Nonlocal Conditions

Department of Mathematics, PSG College of Arts and Science, Coimbatore 641 046, India
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Fractal Fract 2018, 2(4), 29; https://doi.org/10.3390/fractalfract2040029
Received: 8 October 2018 / Revised: 12 November 2018 / Accepted: 16 November 2018 / Published: 20 November 2018
The objective of this paper is to analyze the approximate controllability of a semilinear stochastic integrodifferential system with nonlocal conditions in Hilbert spaces. The nonlocal initial condition is a generalization of the classical initial condition and is motivated by physical phenomena. The results are obtained by using Sadovskii’s fixed point theorem. At the end, an example is given to show the effectiveness of the result. View Full-Text
Keywords: approximate controllability; impulsive systems; mild solutions; semilinear systems; Sadovskii’s fixed point theorem approximate controllability; impulsive systems; mild solutions; semilinear systems; Sadovskii’s fixed point theorem
MDPI and ACS Style

Anguraj, A.; Ramkumar, K. Approximate Controllability of Semilinear Stochastic Integrodifferential System with Nonlocal Conditions. Fractal Fract 2018, 2, 29.

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