Study on the controllability of Hilfer fractional differential system with and without impulsive conditions via infinite delay
Copyright policy )Study on the controllability of Hilfer fractional differential system with and without impulsive conditions via infinite delay
In this manuscript, we investigate the controllability of two different kinds of Hilfer fractional differential equations with an almost sectorial operator and infinite delay. First, we demonstrate the exact controllability of the Hilfer fractional system using the measure of noncompactness. Next, we develop the results for the controllability of the system under impulsive conditions. Finally, to show how the key findings may be utilised, applications are presented.
Controllability, Artificial intelligence, fixed point theorem, Control (management), Fractional ordinary differential equations, Operator (biology), Theory and Applications of Fractional Differential Equations, Mathematical analysis, Biochemistry, Gene, Hilfer fractional derivative, Database, Engineering, FOS: Mathematics, Control theory (sociology), measure of noncompactness, Impulsive control/observation systems, Anomalous Diffusion Modeling and Analysis, QA299.6-433, Impulsive Differential Equations, Applied Mathematics, Delay control/observation systems, Measure (data warehouse), almost sectorial operators, Applied mathematics, Ordinary differential equations with impulses, Computer science, Chemistry, Control and Systems Engineering, Modeling and Simulation, Physical Sciences, Analysis and Control of Distributed Parameter Systems, Repressor, Transcription factor, Analysis, Control/observation systems governed by ordinary differential equations, Mathematics, Nonlinear Systems
Controllability, Artificial intelligence, fixed point theorem, Control (management), Fractional ordinary differential equations, Operator (biology), Theory and Applications of Fractional Differential Equations, Mathematical analysis, Biochemistry, Gene, Hilfer fractional derivative, Database, Engineering, FOS: Mathematics, Control theory (sociology), measure of noncompactness, Impulsive control/observation systems, Anomalous Diffusion Modeling and Analysis, QA299.6-433, Impulsive Differential Equations, Applied Mathematics, Delay control/observation systems, Measure (data warehouse), almost sectorial operators, Applied mathematics, Ordinary differential equations with impulses, Computer science, Chemistry, Control and Systems Engineering, Modeling and Simulation, Physical Sciences, Analysis and Control of Distributed Parameter Systems, Repressor, Transcription factor, Analysis, Control/observation systems governed by ordinary differential equations, Mathematics, Nonlinear Systems
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