Fully Fuzzy Semi-linear Dynamical System Solved by Fuzzy Laplace Transform Under Modified Hukuhara Derivative

Semi-linear dynamical systems draw attention in many useful real world problems like population model, epidemic model, etc., they also occur in various applications involving parabolic equations. Now, when the modelling of such applications has inbuilt possibilistic uncertainty, it can be efficiently realized using fuzzy numbers. In this paper, we modify the existing Hukuhara derivative and give the pertaining results for it. We also redefine the Fuzzy Laplace Transform (FLT) and use it to solve such fully fuzzy semi-linear dynamical system.