GENERAL FRACTIONAL-ORDER ANOMALOUS DIFFUSION WITH NON-SINGULAR POWER-LAW KERNEL

被引：27
|
作者：
Yang, Xiao-Jun [1 ,2 ]
Srivastava, Hari Mohan [3 ,4 ]
Torres, Delfim F. M. [5 ]
Debbouche, Arnar [5 ,6 ]
机构：
[1] China Univ Min & Technol, State Key Lab Geomech & Deep Underground Engn, Xuzhou, Peoples R China
[2] China Univ Min & Technol, Sch Mech & Civil Engn, Xuzhou, Peoples R China
[3] Univ Victoria, Dept Math & Stat, Victoria, BC, Canada
[4] China Med Univ, Taichung, Taiwan
[5] Univ Aveiro, Dept Math, Ctr Res & Dev Math & Applicat CIDMA, Aveiro, Portugal
[6] Guelma Univ, Dept Math, Guelma, Algeria
来源：
THERMAL SCIENCE | 2017年 / 21卷
关键词：
general fractional derivative with non-singular power-law kernel; Riemann-Liouville general fractional derivative; anomalous diffusion; Liouville-Caputo general fractional derivative; MODELS; FLOW;
D O I：
10.2298/TSCI170610193Y
中图分类号：
O414.1 [热力学];
学科分类号：
摘要：
In this paper, we investigate general fractional derivatives with a non-singular power-law kernel. The anomalous diffusion models with non-singular power-law kernel are discussed in detail. The results are efficient for modelling the anomalous behaviors within the frameworks of the Riemann-Lionville and Liouville-Caputo general fractional derivatives.
引用
收藏
页码：S1 / S9
页数：9
相关论文
共 50 条
  • [21] Robust control for fractional variable-order chaotic systems with non-singular kernel
    C. J. Zuñiga-Aguilar
    J. F. Gómez-Aguilar
    R. F. Escobar-Jiménez
    H. M. Romero-Ugalde
    [J]. The European Physical Journal Plus, 133
  • [22] A second order accurate approximation for fractional derivatives with singular and non-singular kernel applied to a HIV model
    Arshad, Sadia
    Defterli, Ozlem
    Baleanu, Dumitru
    [J]. APPLIED MATHEMATICS AND COMPUTATION, 2020, 374
  • [23] A numerical study of anomalous electro-diffusion cells in cable sense with a non-singular kernel
    Iqbal, Azhar
    Akram, Tayyaba
    [J]. DEMONSTRATIO MATHEMATICA, 2022, 55 (01) : 574 - 586
  • [24] Analysis of reaction-diffusion system via a new fractional derivative with non-singular kernel
    Saad, Khaled M.
    Gomez-Aguilar, J. F.
    [J]. PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS, 2018, 509 : 703 - 716
  • [25] Schrodinger equation involving fractional operators with non-singular kernel
    Gomez-Aguilar, J. F.
    Baleanu, Dumitru
    [J]. JOURNAL OF ELECTROMAGNETIC WAVES AND APPLICATIONS, 2017, 31 (07) : 752 - 761
  • [26] A New Generalized Definition of Fractional Derivative with Non-Singular Kernel
    Hattaf, Khalid
    [J]. COMPUTATION, 2020, 8 (02)
  • [27] Fractional investigations of zoonotic visceral leishmaniasis disease with singular and non-singular kernel
    Khan, Muhammad Altaf
    Kolebaje, Olusola
    Yildirim, Ahmet
    Ullah, Saif
    Kumam, P.
    Thounthong, P.
    [J]. EUROPEAN PHYSICAL JOURNAL PLUS, 2019, 134 (10):
  • [28] Fractional investigations of zoonotic visceral leishmaniasis disease with singular and non-singular kernel
    Muhammad Altaf Khan
    Olusola Kolebaje
    Ahmet Yildirim
    Saif Ullah
    P. Kumam
    P. Thounthong
    [J]. The European Physical Journal Plus, 134
  • [29] Adaptive fractional-order non-singular fast terminal sliding mode control for robot manipulators
    Nojavanzadeh, Donya
    Badamchizadeh, Mohammadali
    [J]. IET CONTROL THEORY AND APPLICATIONS, 2016, 10 (13): : 1565 - 1572
  • [30] On fractional modelling of dye removal using fractional derivative with non-singular kernel
    Rangaig, Norodin A.
    Convicto, Vernie C.
    [J]. JOURNAL OF KING SAUD UNIVERSITY SCIENCE, 2019, 31 (04) : 525 - 527
12345