Finite-time stability of multiterm fractional nonlinear systems with multistate time delay

Abstract This work is mainly concentrated on finite-time stability of multiterm fractional system for $0 < \alpha _{2} \leq 1 _{1} 2$ 0 < ? 2 ? 1 with multistate time delay. Considering the Caputo derivative and generalized Gronwall inequality, we formulate novel sufficient conditions such that nonlinear finite stable. Further, extend result in range to integro-differential delay same order by obtaining some inequality using approach. Finally, from examples, advantage presented scheme can guarantee considered systems.