Main Article Content
Abstract
In this paper, different formulations of the fuzzy differential equation are solved using the fuzzy Laplace transform. The radioactive decaying differential equation underimposed fuzzy initial conditions is considered and three different systems of fuzzy differential equations for right angled triangular, trapezoidal and quadrilateral initial conditions are prepared and solved using fuzzy Laplace transform. A new quadrilateral fuzzy number is introduced and using that the decaying differential equation is explored. We established the fuzzy Laplace transform for all defined right angled triangular, trapezoidal and quadrilateral fuzzy numbers. The lower central and upper solutions according the applied fuzzy initial conditions are presented. The solution in terms of membership grade has also illustrated. The core effect of time on number of radionuclide in the sampleand value in quadrilateral fuzzy number is investigated.