Some Fractional Derivatives with Different Kernels

被引：0
|
作者：
Akgül A. [1 ]
机构：
[1] Department of Mathematics, Siirt University Art and Science Faculty, Siirt
来源：
International Journal of Applied and Computational Mathematics | 2022年 / 8卷 / 4期
关键词：
Fractional derivatives; Kernels; Laplace transform;
D O I：
10.1007/s40819-022-01389-z
中图分类号：
学科分类号：
摘要：
In this manuscript, we construct the constant proportional Caputo-Fabrizio and constant proportional Atanagana-Baleanu derivatives. We obtain the inverse operators of these derivatives by Laplace transform. We change the classical derivatives with proportional derivative in the Caputo-Fabrizio and Atangana-Baleanu derivatives. We can see the effect of the proportional derivative on these fractional derivatives. © 2022, The Author(s), under exclusive licence to Springer Nature India Private Limited.
引用
收藏
相关论文
共 50 条
  • [1] Triple pendulum model involving fractional derivatives with different kernels
    Coronel-Escamilla, A.
    Gomez-Aguilar, J. F.
    Lopez-Lopez, M. G.
    Alvarado-Martinez, V. M.
    Guerrero-Ramirez, G. V.
    CHAOS SOLITONS & FRACTALS, 2016, 91 : 248 - 261
  • [2] General Fractional Integrals and Derivatives with the Sonine Kernels
    Luchko, Yuri
    MATHEMATICS, 2021, 9 (06)
  • [3] On fractional derivatives with generalized Mittag-Leffler kernels
    Abdeljawad, Thabet
    Baleanu, Dumitru
    ADVANCES IN DIFFERENCE EQUATIONS, 2018,
  • [4] Proper inverse operators of fractional derivatives with nonsingular kernels
    Al-Refai, Mohammed
    RENDICONTI DEL CIRCOLO MATEMATICO DI PALERMO, 2022, 71 (02) : 525 - 535
  • [5] Why Fractional Derivatives with Nonsingular Kernels Should Not Be Used
    Kai Diethelm
    Roberto Garrappa
    Andrea Giusti
    Martin Stynes
    Fractional Calculus and Applied Analysis, 2020, 23 : 610 - 634
  • [6] WHY FRACTIONAL DERIVATIVES WITH NONSINGULAR KERNELS SHOULD NOT BE USED
    Diethelm, Kai
    Garrappa, Roberto
    Giusti, Andrea
    Stynes, Martin
    FRACTIONAL CALCULUS AND APPLIED ANALYSIS, 2020, 23 (03) : 610 - 634
  • [7] Proper inverse operators of fractional derivatives with nonsingular kernels
    Mohammed Al-Refai
    Rendiconti del Circolo Matematico di Palermo Series 2, 2022, 71 : 525 - 535
  • [8] On fractional derivatives with generalized Mittag-Leffler kernels
    Thabet Abdeljawad
    Dumitru Baleanu
    Advances in Difference Equations, 2018
  • [9] Fractional synchronization involving fractional derivatives with nonsingular kernels: Application to chaotic systems
    Coronel-Escamilla, A.
    Gomez-Aguilar, J. F.
    Torres-Jimenez, J.
    Mousa, A. A.
    Elagan, S. K.
    MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2023, 46 (07) : 7987 - 8003
  • [10] Chemostat Model Analysis Using Various Kernels with Fractional Derivatives
    Akgul, A.
    Ulgul, E.
    Alqahtani, R. T.
    JOURNAL OF MATHEMATICAL EXTENSION, 2023, 17 (09)
12345