Spectral Galerkin Approximation of Space Fractional Optimal Control Problem with Integral State Constraint

Wang, Fangyuan; Li, Xiaodi; Zhou, Zhaojie

doi:10.3390/fractalfract5030102

Cited by 2 publications

(1 citation statement)

References 40 publications

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“…AL-Mekhlafi described the fractional model of multistrain TB cure with optimal control. The optimal control problems to solve numerical procedures were investigated in [31,32].…”

Section: Introductionmentioning

confidence: 99%

Fractional Order Modeling the Gemini Virus in Capsicum annuum with Optimal Control

Nisar

Logeswari²,

Vijayaraj³

et al. 2022

Fractal Fract

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In this article, a fractional model of the Capsicum annuum (C. annuum) affected by the yellow virus through whiteflies (Bemisia tabaci) is examined. We analyzed the model by equilibrium points, reproductive number, and local and global stability. The optimal control methods are discussed to decrease the infectious B. tabaci and C. annuum by applying the Verticillium lecanii (V. lecanii) with the Atangana–Baleanu derivative. Numerical results described the population of plants and comparison values of using V. lecanni. The results show that using 60% of V. lecanni will control the spread of the yellow virus in infected B. tabaci and C. annuum in 10 days, which helps farmers to afford the costs of cultivating chili plants.

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“…AL-Mekhlafi described the fractional model of multistrain TB cure with optimal control. The optimal control problems to solve numerical procedures were investigated in [31,32].…”

Section: Introductionmentioning

confidence: 99%

Fractional Order Modeling the Gemini Virus in Capsicum annuum with Optimal Control

Nisar

Logeswari²,

Vijayaraj³

et al. 2022

Fractal Fract

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A Uniform Accuracy High-Order Finite Difference and FEM for Optimal Problem Governed by Time-Fractional Diffusion Equation

Cao

Wang

2022

Fractal Fract

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In this paper, the time fractional diffusion equations optimal control problem is solved by 3−α order with uniform accuracy scheme in time and finite element method (FEM) in space. For the state and adjoint state equation, the piecewise linear polynomials are used to make the space variables discrete, and obtain the semidiscrete scheme of the state and adjoint state. The priori error estimates for the semidiscrete scheme for state and adjoint state equation are established. Furthermore, the 3−α order uniform accuracy scheme is used to make the time variable discrete in the semidiscrete scheme and construct the full discrete scheme for the control problems based on the first optimal condition and ‘first optimize, then discretize’ approach. The fully discrete scheme’s stability and truncation error are analyzed. Finally, two numerical examples are denoted to show that the theoretical analysis are correct.

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Spectral Galerkin Approximation of Space Fractional Optimal Control Problem with Integral State Constraint

Cited by 2 publications

References 40 publications

Fractional Order Modeling the Gemini Virus in Capsicum annuum with Optimal Control

Fractional Order Modeling the Gemini Virus in Capsicum annuum with Optimal Control

A Uniform Accuracy High-Order Finite Difference and FEM for Optimal Problem Governed by Time-Fractional Diffusion Equation

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