On Cauchy Problems of Caputo Fractional Differential Inclusion with an Application to Fractional Non-Smooth Systems

In this innovative study, we investigate the properties of existence and uniqueness solutions to initial value problem Caputo fractional differential inclusion. study problems, considered case convex non-convex multivalued maps. We obtained results for both cases by means appropriate fixed point theorem. Furthermore, corresponding was also determined. Finally, took a non-smooth system, modified Murali–Lakshmanan–Chua (MLC) fractional-order circuit as an example verify its conditions, through several sets simulation results, discuss implications.