Conformable fractional heat equation with fractional translation symmetry in both time and space

doi:10.1088/1674-1056/ac935f

中国物理B ›› 2023, Vol. 32 ›› Issue (4): 40202-040202.doi: 10.1088/1674-1056/ac935f

Conformable fractional heat equation with fractional translation symmetry in both time and space

W S Chung¹, A Gungor², J Kříž³, B C Lütfüoǧlu^3,4,†, and H Hassanabadi^3,5

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

收稿日期:2022-08-18 修回日期:2022-09-11 接受日期:2022-09-21 出版日期:2023-03-10 发布日期:2023-03-17
通讯作者: B C Lütfüoǧlu E-mail:bekircanlutfuoglu@gmail.com
基金资助:
This work was supported by the Internal Project of Excellent Research of the Faculty of Science of Hradec Kralove University (Grant No. 2022/2218).

Conformable fractional heat equation with fractional translation symmetry in both time and space

W S Chung¹, A Gungor², J Kříž³, B C Lütfüoǧlu^3,4,†, and H Hassanabadi^3,5

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

Received:2022-08-18 Revised:2022-09-11 Accepted:2022-09-21 Online:2023-03-10 Published:2023-03-17
Contact: B C Lütfüoǧlu E-mail:bekircanlutfuoglu@gmail.com
Supported by:
This work was supported by the Internal Project of Excellent Research of the Faculty of Science of Hradec Kralove University (Grant No. 2022/2218).

摘要/Abstract

摘要： 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.

关键词: fractional derivative, heat equation, conformable symmetry

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.

Key words: fractional derivative, heat equation, conformable symmetry

中图分类号: (Partial differential equations)

02.30.Jr

02.60.Lj (Ordinary and partial differential equations; boundary value problems) 45.10.Hj (Perturbation and fractional calculus methods)

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[J]. 中国物理B, 2023, 32(4): 40202-040202.

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[J]. Chin. Phys. B, 2023, 32(4): 40202-040202.

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Conformable fractional heat equation with fractional translation symmetry in both time and space

Conformable fractional heat equation with fractional translation symmetry in both time and space

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