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Controllability for the Nonlinear Fuzzy Neutral Integrodifferential Equations with Nonlocal Conditions


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1 Bharathiar University, Coimbatore, Tamil Nadu, India
     

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In this paper, we devoted study the controllability for the nonlinear fuzzy neutral integrodifferential equations control system in EN. Moreover we study the fuzzy solution for the normal, convex, upper semicontinuous, and compactly supported interval fuzzy number. The results are obtained by using the Banach Fixed point theorem.

Keywords

Fuzzy Set, Fuzzy Number, Neutral Integrodifferential System, Fuzzy Solution, Fixed Point Theorem.
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  • Bede, B., and Gal, S. (2005). Generalizations of the differentiability of fuzzy number valued functions with applications to fuzzy differential equation.Fuzzy Sets and Systems, 151, 581–599.
  • Bede, B., Rudas, I., and Bencsik, A. (2007). First order linear fuzzy differential equations under generalized differentiability.Information Sciences, 177, 1648–1662.
  • Çelikyilmaz, A., and Türksen, I. B. (2009).Modeling Uncertainty with Fuzzy Logic: With Recent Theory and Applications. Springer.
  • Gal, S. (2000). Approximation theory in fuzzy setting. In G. A. Anastassiou (Ed.), Handbook of analytic-computational methods in applied mathematics. Chapman and Hall/CRC Press.
  • Gasilov, N., Amrahov, S. E., and Fatullayev, A. G. (2011). A geometric approach to solve fuzzy linear systems of differential equations. Applied Mathematics and Information Sciences, 5(3), 484–499.
  • Hüllermeier, E. (1997). An approach to modelling and simulation of uncertain dynamical systems. International Journal of Uncertainty, Fuzziness and Knowledge-Based Systems, 5(2), 117–137.
  • Kaleva, O. (1987). Fuzzy differential equations. Fuzzy Sets and Systems, 24, 301–317.
  • Kandel, A., and Byatt, W. J. (1978). Fuzzy differential equations. In Proceedings of the International Conference on Cybernetics and Society, Tokyo, Japan, (pp. 1213– 1216).
  • Khastan, A., Bahrami, F., and Ivaz, K. (2009). New results on multiple solutions fornth-order fuzzy differential equations under generalized differentiability. Boundary Value Problems, 2009, 13.
  • Y. C Kuwun, J. S Hwang, J.S Park and J. H Park, Controllability for the Impulsive Semilinear Fuzzy Integrodifferential equations with nonlocal conditions, Journal of Physics: Conference Series 96(2008), doi: 10.1088/1742-6596/96/1/012090.
  • Misukoshi, M., Chalco-Cano, Y., Román-Flores, H., and Bassanezi, R. C. (2007). Fuzzy differential equations and the extension principle.Information Sciences, 177, 3627–3635.
  • Oberguggenberger, M., and Pittschmann, S. (1999). Differential equations with fuzzy parameters. Mathematical and Computer Modeling of Dynamical Systems, 5, 181–202.
  • Puri, M., and Ralescu, D. (1983). Differential and fuzzy functions. Journal of Mathematical Analysis and Applications, 91, 552–558.
  • Wu, C., and Gong, Z. (2001). On henstock integral of fuzzynumber- valued functions Fuzzy Sets and Systems, 120, 523–532.

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  • Controllability for the Nonlinear Fuzzy Neutral Integrodifferential Equations with Nonlocal Conditions

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Authors

S. Nayayanamoorthy
Bharathiar University, Coimbatore, Tamil Nadu, India
M. Nagarajan
Bharathiar University, Coimbatore, Tamil Nadu, India

Abstract


In this paper, we devoted study the controllability for the nonlinear fuzzy neutral integrodifferential equations control system in EN. Moreover we study the fuzzy solution for the normal, convex, upper semicontinuous, and compactly supported interval fuzzy number. The results are obtained by using the Banach Fixed point theorem.

Keywords


Fuzzy Set, Fuzzy Number, Neutral Integrodifferential System, Fuzzy Solution, Fixed Point Theorem.

References