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
相关论文
共 50 条
  • [21] Application of the Caputo–Fabrizio derivative without singular kernel to fractional Schrödinger equations
    Fatma El-Ghenbazia Bouzenna
    Mohammed Tayeb Meftah
    Mosbah Difallah
    [J]. Pramana, 2020, 94
  • [22] Numerical solution for the model of RLC circuit via the fractional derivative without singular kernel
    Atangana, Abdon
    Jose Nieto, Juan
    [J]. ADVANCES IN MECHANICAL ENGINEERING, 2015, 7 (10): : 1 - 7
  • [23] Extension of the resistance, inductance, capacitance electrical circuit to fractional derivative without singular kernel
    Atangana, Abdon
    Alkahtani, Badr Saad T.
    [J]. ADVANCES IN MECHANICAL ENGINEERING, 2015, 7 (06): : 1 - 6
  • [24] Conservatory of Kaup-Kupershmidt Equation to the Concept of Fractional Derivative with and without Singular Kernel
    Abdon ATANGANA
    Emile Franc Doungmo GOUFO
    [J]. Acta Mathematicae Applicatae Sinica, 2018, 34 (02) : 351 - 361
  • [25] New fractional derivative with sigmoid function as the kernel and its models
    Liu, Jian-Gen
    Yang, Xiao-Jun
    Feng, Yi-Ying
    Cui, Ping
    [J]. CHINESE JOURNAL OF PHYSICS, 2020, 68 : 533 - 541
  • [26] On Some Properties of the New Generalized Fractional Derivative with Non-Singular Kernel
    Hattaf, Khalid
    [J]. MATHEMATICAL PROBLEMS IN ENGINEERING, 2021, 2021 (2021)
  • [27] A New Fractional-Order Mask for Image Edge Detection Based on Caputo–Fabrizio Fractional-Order Derivative Without Singular Kernel
    J. E. Lavín-Delgado
    J. E. Solís-Pérez
    J. F. Gómez-Aguilar
    R. F. Escobar-Jiménez
    [J]. Circuits, Systems, and Signal Processing, 2020, 39 : 1419 - 1448
  • [28] Analysis of logistic equation pertaining to a new fractional derivative with non-singular kernel
    Kumar, Devendra
    Singh, Jagdev
    Al Qurashi, Maysaa
    Baleanu, Dumitru
    [J]. ADVANCES IN MECHANICAL ENGINEERING, 2017, 9 (02):
  • [29] Analysis of the fractional diffusion equations with fractional derivative of non-singular kernel
    Mohammed Al-Refai
    Thabet Abdeljawad
    [J]. Advances in Difference Equations, 2017
  • [30] Analysis of the fractional diffusion equations with fractional derivative of non-singular kernel
    Al-Refai, Mohammed
    Abdeljawad, Thabet
    [J]. ADVANCES IN DIFFERENCE EQUATIONS, 2017,
12345