Numerical solution of first order linear and nonlinear fuzzy differential equations under strongly generalized differentiability

This thesis consist of six chapters. The first chapter is devoted to the introduction. In the second chapter, the basic definitions and theorems are given. In the third chapter, the definitions of Hukuhara derivative and strongly generalized derivative are given for the fuzzy number functions. In the fourth chapter, these differentiation definitions are applied and different systems of equations obtained from the same fuzzy differential equations and their solutions are presented by supporting with the examples. In the fifth chapter, examples are given for first order linear and nonlinear fuzzy differential equations. The solutions are investigated by using numerical methods with the initial conditions for each different fuzzy numbers and also obtaining results are demonstrated with tables and graphs. In the sixth chapter, the conclusions and assumptions are placed.