  In this paper, the stability of fractional differential equations (FDEs) with
unknown parameters is studied. FDEs bring many advantages to model the physical
systems in the nature or man-made systems in the industry. Because this
representation has a property between linear differential equations and
nonlinear differential equations. Therefore, the designer may use the FDEs to
model complex systems instead of nonlinear differential equations which have
hard mathematical background. Using the graphical based D-decomposition method,
we investigate the parametric stability analysis of FDEs without complicated
mathematical analysis. To achieve this, stability boundaries are obtained
firstly, and then the stability region set depending on the unknown parameters
is found. The applicability of the presented method is shown considering some
benchmark equations which are often used to verify the results of a new method.
Simulation examples shown that the method is simple and give reliable stability
results.
