Stability of nonlinear Caputo fractional differential equations

• Developed a fractional differential inequalities.
• Obtained a Caputo type fractional comparison result.
• Sufficient conditions for stability and instability are obtained for nonlinear fractional differential equations.

In this paper, by using the fractional differential inequality, we obtain a Caputo type fractional comparison result. Further, We investigate the stability and instability of nonlinear Caputo fractional differential equations by using the Caputo type fractional comparison principle.