Optimal Control Problem for a Conformable Fractional Heat Conduction Equation

• Authors: B. İskender Eroğlu , D. Avcı , N. Özdemir
• Languages of publication: EN

Abstracts

EN

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.

Keywords

EN

44.10.+i; 02.30.Yy; 02.60.Cb; 81.40.Jj

Discipline

• 02.30.Yy: Control theory
• 81.40.Jj: Elasticity and anelasticity, stress-strain relations
• 44.10.+i: Heat conduction(see also 66.25.+g and 66.70.-f in nonelectronic transport properties of condensed matter)
• 02.60.Cb: Numerical simulation; solution of equations

• Publisher: Institute of Physics, Polish Academy of Sciences
• Journal: Acta Physica Polonica A
• Year: 2017
• Volume: 132
• Issue: 3
• Pages: 658-662

Dates

published

2017-09

Contributors

author

B. İskender Eroğlu

• Balıkesir University, Faculty of Science and Arts, Department of Mathematics, Balıkesir, Turkey

author

D. Avcı

• Balıkesir University, Faculty of Science and Arts, Department of Mathematics, Balıkesir, Turkey

author

N. Özdemir

• Balıkesir University, Faculty of Science and Arts, Department of Mathematics, Balıkesir, Turkey

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Identifiers

DOI

10.12693/APhysPolA.132.658