A new fractional derivative involving the normalized sinc function without singular kernel

被引：95
|
作者：
Yang, Xiao-Jun [1 ,2 ]
Gao, Feng [1 ,2 ]
Machado, J. A. Tenreiro [3 ]
Baleanu, Dumitru [4 ,5 ]
机构：
[1] China Univ Min & Technol, State Key Lab Geomech & Deep Underground Engn, Xuzhou 221116, Jiangsu, Peoples R China
[2] China Univ Min & Technol, Sch Mech & Civil Engn, Xuzhou 221116, Jiangsu, Peoples R China
[3] Polytech Porto, Inst Engn, Dept Elect Engn, Rua Dr Antonio Bernardino de Almeida, P-4249015 Porto, Portugal
[4] Cankya Univ, Dept Math, Ogretmenler Cad 14, TR-06530 Ankara, Turkey
[5] Inst Space Sci, Bucharest, Romania
来源：
EUROPEAN PHYSICAL JOURNAL-SPECIAL TOPICS | 2017年 / 226卷 / 16-18期
关键词：
DIFFUSION; EQUATION; RELAXATION; CALCULUS; MODELS;
D O I：
10.1140/epjst/e2018-00020-2
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
In this paper, a new fractional derivative involving the normalized sinc function without singular kernel is proposed. The Laplace transform is used to find the analytical solution of the anomalous heat-diffusion problems. The comparative results between classical and fractional-order operators are presented. The results are significant in the analysis of one-dimensional anomalous heat-transfer problems.
引用
收藏
页码：3567 / 3575
页数：9
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