Optimal Control Problem for a Conformable Fractional Heat Conduction Equation
B.B. İskender Eroğlu, D. Avcı and N. Özdemir
Balıkesir University, Faculty of Science and Arts, Department of Mathematics, Balıkesir, Turkey
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This paper presents an optimal boundary temperature control of thermal stresses in a plate, based on time-conformable fractional heat conduction equation. The aim is to find the boundary temperature that takes thermal stress under control. The fractional Laplace and finite Fourier sine transforms are used to obtain the fundamental solution. Then the optimal control is held by successive iterations. Numerical results are depicted by plots produced by MATLAB codes.

DOI: 10.12693/APhysPolA.132.658
PACS numbers: 44.10.+i, 02.30.Yy, 02.60.Cb, 81.40.Jj