Subscribe to our Newsletter and get informed about new publication regulary and special discounts for subscribers!

BMSA > Volume 3 > Existence and Uniqueness of Fuzzy Control...
< Back to Volume

Existence and Uniqueness of Fuzzy Control Integro-Differential Equation with Perturbed

Full Text PDF


In the paper, we discuss the existence and uniqueness solution of fuzzy control integrodifferential equation with perturbed. The method of successive approximations is utilized toestablish these results.


Bulletin of Mathematical Sciences and Applications (Volume 3)
N. Phuong et al., "Existence and Uniqueness of Fuzzy Control Integro-Differential Equation with Perturbed", Bulletin of Mathematical Sciences and Applications, Vol. 3, pp. 37-44, 2013
Online since:
Feb 2013

V. Lakshmikantham, T. Gnana Bhaskar and J. Vasundhara Devi, Theory of set differential equations in metric spaces, Cambridge Scientific Publisher, UK, (2006).

V. Lakshmikantham, Vasundhara Devi, Theory of fuzzy differential equations and inclusions, Taylor Francis, London, (2003).

S. Abbasbandy, M. S. Hashemi, Fuzzy integro-differential Equation: Formulation and Solution using the Variational Iteration Method, J. Nonlinear Science Letters A, Vol. 1 No. 4.

N.D. Phu, Q.L. Dung, On the stability and global controllability for Fuzzy set control differential equations, International Journal Reliability and safety, 2011, 5(2): 320 - 335.

K. Balachandran and K. Kanagarajan, Existence of solutions of perturbed fuzzy integrodifferential equations, Differential Equations and Applications, Vol. 4 (2006).

T. Allahviranloo, A. Amirteimoori, M. Khezerloo, S. Khezerloo, A new method for solving fuzzy voltra integro-differential equations, Journal of Australian Journal of Basic and Applied Sciences, 5(4): 154-164, (2011).

M. Shafiei, T. Allahviranloo, S. Abbasbandy, Numerical solution for nonlinear fuzzy voltra integral equtions, Journal of Australian Journal of Basic and Applied Sciences.

T. Allahviranloo, M. Khezerloo, S. Khezerloo, S. Salahshour, Toward the existence and uniqueness of solutions of second-order fuzzy Volterra integro-differential equations with fuzzy kernel, in Journal of Neural computing & applications.

N.D. Phu, T.T. Tung. On the existence of fuzzy solutions of fuzzy control differential equations. J. Science and Technology Development, 2006, 10(5): 5 - 15.

Show More Hide