Since the last century, some researchers have focused
on the problem of stability of some different differential equations. Stability
calculations are made using computer programs today. This has occasionally led
to some calculation errors, the exact cause of which is not clear, due to
technical details. The purpose of this study is to investigate and classify the
stability of individual fractional differential equations. To achieve this
goal, computer programs, optimization processes and literature are used. In
this way, new algorithmic-theoretical techniques and singular fractional
differential equations and new operators are developed and classes are created.