Non-Homogeneous Fuzzy Differential Equation with Triangular Fuzzy Number as Initial condition

A solution of First Order Nonhomogeneous Linear Fuzzy Differential Equation with initial condition as Triangular Fuzzy Number is discussed in this paper and to obtained a general solution, we have used a method of interval arithmetic on α-cut interval. Here, we have proposed a solution Non-Homogeneous Fuzzy Differential Equation by considering four different possible cases of real valued functions involved in differential equations. At the last, an example of first order nonhomogeneous linear fuzzy differential equation under fuzzy initial condition is being solved to verify the result.