Sumudu transform for solving ordinary differential equation in a fuzzy environment

Abstract

The ordinary differential equations are widely used for modeling many real-life problems in the fuzzy world. In this paper an ordinary differential equation of a mechanical vibration system is considered with fuzzified initial values under strongly generalized differentiability condition. An algorithm based on Sumudu transform method, a modified form of Laplace Transform, is used to find the solution of the problem. The results are shown in the form of a table at different computational points. The solutions are also obtained for different r-cut and time values and are depicted graphically. The results obtained are in good agreement with the analytical result.

Subject Classification: (2010):

• 34A07

Keywords:

• Fuzzy numbers
• Fuzzy valued function
• Hukuhara derivative
• Strongly generalized differentiability
• Sumudu transform