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

被引：2

作者：

Chung, W. S. ^{[1
,2
]}

Gungor, A. ^{[3
]}

Kriz, J. ^{[4
]}

Lutfuoglu, B. C. ^{[4
,5
]}

Hassanabadi, H. ^{[4
,6
]}

机构：

[1] Gyeongsang Natl Univ, Coll Nat Sci, Dept Phys, Jinju 660701, South Korea

[2] Gyeongsang Natl Univ, Res Inst Nat Sci, Coll Nat Sci, Jinju 660701, South Korea

[3] Akdeniz Univ, Mech Engn, Antalya, Turkiye

[4] Univ Hradec Kralove, Dept Phys, Rokitanskeho 62, Hradec Kralove 50003, Czech Republic

[5] Akdeniz Univ, Dept Phys, Antalya, Turkiye

[6] Shahrood Univ Technol, Fac Phys, Shahrood, Iran

来源：

CHINESE PHYSICS B | 2023年 / 32卷 / 04期

关键词：

fractional derivative; heat equation; conformable symmetry; IDENTIFICATION; SYSTEM;

D O I：

10.1088/1674-1056/ac935f

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

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 alpha-disk with an initial constant temperature and discuss their cooling processes in the examined formalism.

引用

页数：5

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