A nonlinear control system with a Hilfer derivative and its optimization
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Publication:5225891
DOI10.15388/NA.2019.2.8zbMath1416.26010OpenAlexW2916721807WikidataQ128343280 ScholiaQ128343280MaRDI QIDQ5225891
Publication date: 29 July 2019
Published in: Nonlinear Analysis: Modelling and Control (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.15388/na.2019.2.8
maximum principlefractional integralsexistence of optimal solutionsCaputo fractional derivativesRiemann-LiouvilleHilfer
Fractional derivatives and integrals (26A33) Existence theories for optimal control problems involving relations other than differential equations (49J21)
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Cites Work
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- A numerical technique for solving fractional optimal control problems and fractional Riccati differential equations
- Existence and uniqueness for a problem involving hilfer fractional derivative
- Optimality conditions and a solution scheme for fractional optimal control problems
- A fractional-order model of HIV infection with drug therapy effect
- Some applications of fractional order calculus
- Modified optimal energy and initial memory of fractional continuous-time linear systems
- A numerical technique for solving fractional optimal control problems
- Generalized variational calculus in terms of multi-parameters fractional derivatives
- Fractional calculus in viscoelasticity: an experimental study
- On a fractional order Ebola epidemic model
- A new representation formula for the Hilfer fractional derivative and its application
- Fractional conservation laws in optimal control theory
- Calculus of variations with fractional derivatives and fractional integrals
- Fractals and fractional calculus in continuum mechanics
- On fractional order dengue epidemic model
- Existence of a weak solution for fractional Euler-Lagrange equations
- The necessary conditions of fractional optimal control in the sense of Caputo
- Comparison and validation of integer and fractional order ultracapacitor models
- A fractional fundamental lemma and a fractional integration by parts formula-applications to critical points of Bolza functionals and to linear boundary value problems
- Existence of optimal solutions to Lagrange problem for a fractional nonlinear control system with Riemann-Liouville derivative
- Numerical solution of a class of fractional optimal control problems via the Legendre orthonormal basis combined with the operational matrix and the Gauss quadrature rule
- Fractional calculus description of nonlinear viscoelastic behaviour of polymers
- A general formulation and solution scheme for fractional optimal control problems
- Generalized fractional derivatives and their applications to mechanical systems
- An Efficient Numerical Scheme for Solving Multi-Dimensional Fractional Optimal Control Problems With a Quadratic Performance Index
- On fractional Cauchy-type problems containing Hilfer's derivative
- On the existence and uniqueness and formula for the solution of R-L fractional cauchy problem in ℝ n
- Pontryagin maximum principle for fractional ordinary optimal control problems
- A fractional order epidemic model for the simulation of outbreaks of influenza A(H1N1)
- Fractional diffusion equation with a generalized Riemann–Liouville time fractional derivative
- Minimal modified energy control for fractional linear control systems with the Caputo derivative
- A Hamiltonian Formulation and a Direct Numerical Scheme for Fractional Optimal Control Problems
- An iterative approach for solving fractional optimal control problems
- On the Fractional Calculus Model of Viscoelastic Behavior
- Fractional Calculus
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