Finite Time Stability of Fractional Order Systems of Neutral Type
Abdellatif Ben Makhlouf, Dumitru Bǎleanu
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.
Topics & Concepts
Stability (learning theory)Gronwall's inequalityType (biology)Order (exchange)MathematicsWork (physics)Applied mathematicsControl theory (sociology)Point (geometry)Mathematical analysisInequalityComputer scienceControl (management)PhysicsGeometryThermodynamicsArtificial intelligenceFinanceEcologyBiologyEconomicsMachine learningFractional Differential Equations SolutionsAdvanced Control Systems DesignNumerical methods for differential equations