Approximate Controllability of Semilinear Stochastic Integrodifferential System with Nonlocal Conditions

Fractal and Fractional

Ramkumar, K.¹  Anguraj, Annamalai² 

[1] Author to whom correspondence should be addressed.;Department of Mathematics, PSG College of Arts and Science, Coimbatore 641 046, India

关键词: approximate controllability;    impulsive systems;    mild solutions;    semilinear systems;    Sadovskii’s fixed point theorem;   

DOI  :  10.3390/fractalfract2040029

学科分类：数值分析

来源: mdpi

【 摘 要 】

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.

【 授权许可】

CC BY