*Article* **Finite Time Stability of Fractional Order Systems of Neutral Type**

**Abdellatif Ben Makhlouf 1,\* and Dumitru Baleanu 2,3,4**


**Abstract:** This work deals with a new finite time stability (FTS) of neutral fractional order systems with time delay (NFOTSs). In light of this, FTSs of NFOTSs are demonstrated in the literature using the Gronwall inequality. The innovative aspect of our proposed study is the application of fixed point theory to show the FTS of NFOTSs. Finally, using two examples, the theoretical contributions are confirmed and substantiated.

**Keywords:** fractional calculus; neutral systems; fixed-point theory
