Spectral Galerkin Approximation of Space Fractional Optimal Control Problem with Integral State Constraint
نویسندگان
چکیده
In this paper spectral Galerkin approximation of optimal control problem governed by fractional advection diffusion reaction equation with integral state constraint is investigated. First order condition the discussed. Weighted Jacobi polynomials are used to approximate and adjoint state. A priori error estimates for control, state, Lagrangian multiplier derived. Numerical experiment carried out illustrate theoretical findings.
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ژورنال
عنوان ژورنال: Fractal and fractional
سال: 2021
ISSN: ['2504-3110']
DOI: https://doi.org/10.3390/fractalfract5030102