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Conformable fractional heat equation with fractional translation symmetry in both time and space |
| W S Chung1, A Gungor2, J Kříž3, B C Lütfüoǧlu3,4,†, and H Hassanabadi3,5 |
1 Department of Physics and Research Institute of Natural Science, College of Natural Science, Gyeongsang National University, Jinju 660-701, Korea;
2 Mechanical Engineering, Akdeniz University, Antalya, Turkey;
3 Department of Physics, University of Hradec Králové, Rokitanského 62, 500 03 Hradec Králové, Czech Republic;
4 Department of Physics, Akdeniz University, Antalya, Turkey;
5 Faculty of Physics, Shahrood University of Technology, Shahrood, Iran |
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Abstract We investigate the fractional heat equation with fractional translation in both time and position with different fractional orders. As examples, we consider a rod and an α-disk with an initial constant temperature and discuss their cooling processes in the examined formalism.
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Received: 18 August 2022
Revised: 11 September 2022
Accepted manuscript online: 21 September 2022
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PACS:
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02.30.Jr
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(Partial differential equations)
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02.60.Lj
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(Ordinary and partial differential equations; boundary value problems)
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45.10.Hj
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(Perturbation and fractional calculus methods)
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| Fund: This work was supported by the Internal Project of Excellent Research of the Faculty of Science of Hradec Kralove University (Grant No. 2022/2218). |
Corresponding Authors:
B C Lütfüoǧlu
E-mail: bekircanlutfuoglu@gmail.com
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Cite this article:
W S Chung, A Gungor, J Kříž, B C Lütfüoǧlu, and H Hassanabadi Conformable fractional heat equation with fractional translation symmetry in both time and space 2023 Chin. Phys. B 32 040202
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