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This paper concentrates with the problem of stability in the finite range of time for nonlinear system with multi term fractional-order and damping behavior. Utilizing the Mittag Leffler functions and generalized Gronwall inequality (GI), a sufficient criteria that ensure the finite time stability (FTS) for both condition 0 < α1−α2 < 1 and 1≤ α1−α2 < 2. Finally, two numerical examples are carried out to verify the obtained results.

Finite-time stability of nonlinear fractional systems with damping behavior