On the constrained and unconstrained controllability of semilinear Hilfer fractional systems

On the constrained and unconstrained controllability of semilinear Hilfer fractional systems

In the paper finite-dimensional semilinear dynamical control systems described by fractional-order state equations with the Hilfer fractional derivative are discussed. The formula for a solution of the considered systems is presented and derived using the Laplace transform. Bounded nonlinear functio...

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Bibliographic Details
Main Author: Sikora, B. (Author)
Format: Article
Language:English
Published: Polska Akademia Nauk 2023
Subjects:
Controllability
Differential equations
Equations of state
Fixed point arithmetic
Fixed points theorems
Fractional derivatives
fractional systems
Fractional systems
Functional analysis
generalized Darbo fixed point theorem
Generalized darbo fixed point theorem
Hilfe fractional derivative
Hilfer fractional derivative
Laplace transforms
Non-autonomous system
nonautonomous systems
Rothe’s fixed point theorem
Semilinear
Semilinear control system
semilinear control systems
Stability criteria
Topology
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