ON CHAIN RULE IN FRACTIONAL CALCULUS

被引：2
|
作者：
Wang, Jun [1 ]
Hu, Yue [1 ]
机构：
[1] Henan Polytech Univ, Sch Econ & Management, Jiaozuo, Peoples R China
来源：
THERMAL SCIENCE | 2016年 / 20卷 / 03期
基金：
中国国家自然科学基金;
关键词：
time-fractional Kuramoto-Sivashinsky equation; exact solution; tanh-sech method; nanometer scale; EQUATION;
D O I：
10.2298/TSCI1603803W
中图分类号：
O414.1 [热力学];
学科分类号：
摘要：
Chain rule plays an important role in fractional calculus. There are many definitions of fractional derivative, and this paper shows that the chain rule is invalid for Jumarie's modification of Riemann-Liouville definition.
引用
收藏
页码：803 / 806
页数：4
相关论文
共 50 条
  • [21] Fractional calculus for distributions
    Hilfer, R.
    Kleiner, T.
    FRACTIONAL CALCULUS AND APPLIED ANALYSIS, 2024, 27 (05) : 2063 - 2123
  • [22] ZEROS IN FRACTIONAL CALCULUS
    BOER, FJD
    AMERICAN MATHEMATICAL MONTHLY, 1976, 83 (05): : 386 - 387
  • [23] Fractional calculus in pharmacokinetics
    Sopasakis, Pantelis
    Sarimveis, Haralambos
    Macheras, Panos
    Dokoumetzidis, Aristides
    JOURNAL OF PHARMACOKINETICS AND PHARMACODYNAMICS, 2018, 45 (01) : 107 - 125
  • [24] WEYL FRACTIONAL CALCULUS
    RAINA, RK
    KOUL, CL
    PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 1979, 73 (02) : 188 - 192
  • [25] On fractional Hahn calculus
    Brikshavana, Tanapat
    Sitthiwirattham, Thanin
    ADVANCES IN DIFFERENCE EQUATIONS, 2017,
  • [26] Complexity and the Fractional Calculus
    Pramukkul, Pensri
    Svenkeson, Adam
    Grigolini, Paolo
    Bologna, Mauro
    West, Bruce
    ADVANCES IN MATHEMATICAL PHYSICS, 2013, 2013
  • [27] On conformable fractional calculus
    Abdeljawad, Thabet
    JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2015, 279 : 57 - 66
  • [28] Tempered fractional calculus
    Sabzikar, Farzad
    Meerschaert, Mark M.
    Chen, Jinghua
    JOURNAL OF COMPUTATIONAL PHYSICS, 2015, 293 : 14 - 28
  • [29] On right fractional calculus
    Department of Mathematical Sciences, University of Memphis, Memphis, TN 38152, United States
    Chaos Solitons Fractals, 1 (365-376):
  • [30] The Chronicles of Fractional Calculus
    J. A. Tenreiro Machado
    Virginia Kiryakova
    Fractional Calculus and Applied Analysis, 2017, 20 : 307 - 336
12345