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Soft Computing

, Volume 19, Issue 7, pp 1829–1841 | Cite as

Controllability of second-order semilinear fuzzy integrodifferential control systems with nonlocal initial conditions

  • Mohit KumarEmail author
Methodologies and Application

Abstract

This paper is concerned with the nonlocal controllability for the second-order semilinear fuzzy integrodifferential control systems with nonlocal initial conditions. The results are obtained using the Banach fixed point theorem and the fuzzy number whose values are normal, convex, upper semicontinuous and compactly supported interval in \(E_N\). An example is given to illustrate the results.

Keywords

Fuzzy number Integrodifferential system Fuzzy solution Existence Controllability Nonlocal initial condition Banach fixed point theorem 

Notes

Acknowledgments

The author wishes to express his deep gratitude to the anonymous referees for their useful suggestions and remarks for improving the original manuscript.

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Copyright information

© Springer-Verlag Berlin Heidelberg 2014

Authors and Affiliations

  1. 1.Department of MathematicsIndian Institute of Technology RoorkeeRoorkeeIndia

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