Original Article
Kyungpook Mathematical Journal 2013; 53(1): 87-98
Published online March 23, 2013
Copyright © Kyungpook Mathematical Journal.
Existence Results for the Nonlinear First Order Fuzzy Neutral Integrodifferential Equations
Bheeman Radhakrishnan1, Murugesan Nagarajan2, Samayan Narayanamoorthy2
1Department of Applied Mathematics and Computational Sciences, PSG College of Technology, Coimbatore- 641 004, Tamil Nadu, India 2Department of Applied Mathematics, Bharathiar University, Coimbatore -641 046, Tamil Nadu, India
Received: March 23, 2013; Revised: March 23, 2013; Accepted: March 23, 2013
In this paper, we devoted to study the existence and uniqueness of nonlinear fuzzy neutral integrodifferential equations. 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. An example is provided to illustrate the theory.
Keywords: Fuzzy set, fuzzy number, neutral integrodifferential system, fuzzy solution, fixed point theorem