An optimization technique for solving a class of nonlinear fractional optimal control problems: application in cancer treatment

DOI10.1016/j.apm.2021.01.004zbMath1481.49037OpenAlexW3120943505MaRDI QIDQ823513

N. E. Zubov

Publication date: 24 September 2021

Published in: Applied Mathematical Modelling (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.apm.2021.01.004

zbMATH Keywords

operational matrixGaussian quadrature ruleoptimization methodcancer treatmentgeneralized shifted Legendre polynomialsnonlinear fractional optimal control problems

Mathematics Subject Classification ID

Applications of optimal control and differential games (49N90) Nonlinear systems in control theory (93C10) Medical applications (general) (92C50) Decomposition methods (49M27) Optimality conditions for problems involving relations other than differential equations (49K21)

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SCW-iterative-computational method for solving a wide class of nonlinear fractional optimal control problems with Caputo derivatives ⋮ Analysis of nonlinear fractional optimal control systems described by delay Volterra-Fredholm integral equations via a new spectral collocation method ⋮ Existence, uniqueness, and controllability for Hilfer differential equations on times scales ⋮ An approximate solution for variable‐order fractional optimal control problem via Müntz‐Legendre wavelets with an application in epidemiology ⋮ On the role of optimization in the cancer treatment by radiation therapy (RT) ⋮ Numerical approach for modeling fractional heat conduction in porous medium with the generalized Cattaneo model ⋮ A general framework for the numerical analysis of high-order finite difference solvers for nonlinear multi-term time-space fractional partial differential equations with time delay ⋮ Numerical solutions for fractional optimal control problems by using generalised fractional-order Chebyshev wavelets ⋮ Mittag-Leffler stability, control, and synchronization for chaotic generalized fractional-order systems ⋮ A computational method based on the generalized Lucas polynomials for fractional optimal control problems ⋮ A generalization of Müntz-Legendre polynomials and its implementation in optimal control of nonlinear fractional delay systems

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