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Regional Fractional Optimal Control Problem of a Bilinear Reaction Diffusion Equation Using Distributed Bounded Controls |
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PP: 537-544 |
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doi:10.18576/pfda/100402
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Author(s) |
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Abella El Kabouss,
Abdelhak Bouhamed,
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Abstract |
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| This paper examines the regional fractional distributed optimal control for a bilinear reaction-diffusion equation that is driven by bounded, distributed controls. We formulate the problem as the minimization of a functional consisting of the difference between the desired and actual fractional values over a time interval, along with an energy term. We prove the existence of an optimal control and characterize it using an optimality system.
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