THE FLAW IN THE CONFORMABLE CALCULUS: IT IS CONFORMABLE BECAUSE IT IS NOT FRACTIONAL

被引：69
|
作者：
Abdelhakim, Ahmed A. [1 ]
机构：
[1] Assiut Univ, Fac Sci, Math Dept, Assiut 71516, Egypt
来源：
FRACTIONAL CALCULUS AND APPLIED ANALYSIS | 2019年 / 22卷 / 02期
关键词：
conformable derivative; fractional calculus;
D O I：
10.1515/fca-2019-0016
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We point out a major flaw in the so-called conformable calculus. We demonstrate why it fails at defining a fractional order derivative and where exactly these tempting conformability properties come from.
引用
收藏
页码：242 / 254
页数：13
相关论文
共 50 条
  • [1] The Flaw in the Conformable Calculus: It is Conformable Because It isNot Fractional
    Ahmed A. Abdelhakim
    Fractional Calculus and Applied Analysis, 2019, 22 : 242 - 254
  • [2] On conformable fractional calculus
    Abdeljawad, Thabet
    JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2015, 279 : 57 - 66
  • [3] ON GENERALIZED THE CONFORMABLE FRACTIONAL CALCULUS
    Sarikaya, M. Z.
    Budak, H.
    Usta, F.
    TWMS JOURNAL OF APPLIED AND ENGINEERING MATHEMATICS, 2019, 9 (04): : 792 - 799
  • [4] Variational Calculus With Conformable Fractional Derivatives
    Lazo, Matheus J.
    Torres, Delfim F. M.
    IEEE-CAA JOURNAL OF AUTOMATICA SINICA, 2017, 4 (02) : 340 - 352
  • [5] Variational Calculus With Conformable Fractional Derivatives
    Matheus J.Lazo
    Delfim F.M.Torres
    IEEE/CAA Journal of Automatica Sinica, 2017, 4 (02) : 340 - 352
  • [6] FRACTIONAL VARIATIONAL PROBLEMS ON CONFORMABLE CALCULUS
    Ogrekci, Suleyman
    Asliyuce, Serkan
    COMMUNICATIONS FACULTY OF SCIENCES UNIVERSITY OF ANKARA-SERIES A1 MATHEMATICS AND STATISTICS, 2021, 70 (02): : 719 - 730
  • [7] A modification to the conformable fractional calculus with some applications
    El-Ajou, Ahmad
    ALEXANDRIA ENGINEERING JOURNAL, 2020, 59 (04) : 2239 - 2249
  • [8] A conformable fractional calculus on arbitrary time scales
    Benkhettou, Nadia
    Hassani, Salima
    Torres, Delfim F. M.
    JOURNAL OF KING SAUD UNIVERSITY SCIENCE, 2016, 28 (01) : 93 - 98
  • [9] On conformable delta fractional calculus on time scales
    Zhao, Dafang
    Li, Tongxing
    JOURNAL OF MATHEMATICS AND COMPUTER SCIENCE-JMCS, 2016, 16 (03): : 324 - 335
  • [10] Multi-variable Conformable Fractional Calculus
    Gozutok, Nazli Yazici
    Gozutok, Ugur
    FILOMAT, 2018, 32 (01) : 45 - 53
12345