Optimal control problem for a conformable fractional heat conduction equation

BBİ Eroğlu, D Avcı, N Özdemir - 2017 - dspace.balikesir.edu.tr
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 …

System response of an alcoholism model under the effect of immigration via non-singular kernel derivative

F Evirgen, S Uçar, N Özdemir, Z Hammouch - 2021 - dspace.balikesir.edu.tr
In this study, we aim to comprehensively investigate a drinking model connected to
immigration in terms of Atangana-Baleanu derivative in Caputo type. To do this, we firstly …

Two-dimensional Cattaneo-Hristov heat diffusion in the half-plane

BBİ Eroğlu - Mathematical Modelling and Numerical Simulation with …, 2023 - dergipark.org.tr
In this paper, Cattaneo-Hristov heat diffusion is discussed in the half plane for the first time,
and solved under two different boundary conditions. For the solution purpose, the Laplace …

[HTML][HTML] A fractional order viscoelastic-plastic creep model for coal sample considering initial damage accumulation

P Huang, J Zhang, NJ Damascene, C Dong… - Alexandria Engineering …, 2021 - Elsevier
In deep coal and rock mass engineering, extensive initial damage problems caused by
excavation and unloading are critical to the long-term deformation and stability of …

Analyze the optimal solutions of optimization problems by means of fractional gradient based system using VIM

F Evirgen - An International Journal of Optimization and Control …, 2016 - ijocta.org
In this paper, a class of Nonlinear Programming problem is modeled with gradient based
system of fractional order differential equations in Caputo's sense. To see the overlap …

Control of thermal stresses in axissymmetric problems of fractional thermoelasticity for an infinite cylindrical domain

Y Povstenko, D Avcı, BBİ Eroğlu, N Özdemir - 2017 - acikerisim.balikesir.edu.tr
In this paper, we study a control problem of thermal stresses in an infinite cylindrical body.
The temperature distribution is defined by the time-fractional heat conduction equation with …

Distributed control of nonlinear conductivity heat transfer equation in a thick functionally graded plate

S Shafie, B Rahmani, A Moosaie… - … Communications in Heat …, 2022 - Elsevier
In this paper, distributed control of nonhomogeneous nonlinear conductivity heat transfer
equation on a single plate is studied. The inhomogeneity of the equation is due to the use of …

Optimal control of the Cattaneo–Hristov heat diffusion model

D Avcı, BBİ Eroğlu - Acta Mechanica, 2021 - Springer
In this study, the optimal control problem for Cattaneo–Hristov heat diffusion, a partial
differential equation including both fractional-order Caputo–Fabrizio and integer-order …

Control of steady-state thermal displacements and stresses in a plane-strained half-space

R Kushnir, A Yasinskyy - Journal of Thermal Stresses, 2018 - Taylor & Francis
Inverse thermoelasticity problems, formulated as a result of reduction of two-dimensional
steady-state control problems for a component of the displacement vector or the stress …

Adjustment of optimal parameters to control the temperature in different conductors

A Oudi, S Faramarzi, M Hosseini… - Journal of Modeling …, 2024 - modelling.semnan.ac.ir
PID controller is a closed-loop control algorithm and method using the concept of feedback
that is used in many industrial processes to control the speed of DC motors, pressure …