On Riemann and Caputo fractional differences

被引:17
|
作者
Abdeljawad, Thabet [1 ]
机构
[1] Department of Mathematics and Computer Science, Çankaya University, 06530 Ankara, Turkey
来源
关键词
Engineering Village;
D O I
暂无
中图分类号
学科分类号
摘要
Caputo left and right fractional differences - Left and right Riemann differences - Left fractional sum - Mittag-Leffler functions - Right fractional sum
引用
下载
收藏
页码:1602 / 1611
相关论文
共 50 条
  • [21] Nonlinear fractional Caputo-Langevin equation with nonlocal Riemann-Liouville fractional integral conditions
    Yukunthorn, Weera
    Ntouyas, Sotiris K.
    Tariboon, Jessada
    ADVANCES IN DIFFERENCE EQUATIONS, 2014,
  • [22] Nonlinear sequential Riemann-Liouville and Caputo fractional differential equations with generalized fractional integral conditions
    Promsakon, Chanon
    Phuangthong, Nawapol
    Ntouyas, Sotiris K.
    Tariboon, Jessada
    ADVANCES IN DIFFERENCE EQUATIONS, 2018,
  • [23] Ground state solutions for the fractional impulsive differential system with ψ-Caputo fractional derivative and ψ-Riemann-Liouville fractional integral
    Li, Dongping
    Li, Yankai
    Feng, Xiaozhou
    Li, Changtong
    Wang, Yuzhen
    Gao, Jie
    MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2024, 47 (11) : 8434 - 8448
  • [24] Differences between Riemann-Liouville and Caputo calculus definitions in analyzing fractional boost converter with discontinuous-conduction-mode operation
    Chen, Yanfeng
    Wang, Xin
    Zhang, Bo
    Xie, Fan
    Chen, Sheng
    INTERNATIONAL JOURNAL OF CIRCUIT THEORY AND APPLICATIONS, 2024, 52 (08) : 4164 - 4183
  • [25] Non-Periodicity of Complex Caputo Like Fractional Differences
    Feckan, Michal
    Danca, Marius-F.
    FRACTAL AND FRACTIONAL, 2023, 7 (01)
  • [26] Existence and Ulam stability for fractional differential equations of mixed Caputo-Riemann derivatives
    Murad, Shayma A.
    Ameen, Zanyar A.
    AIMS MATHEMATICS, 2022, 7 (04): : 6404 - 6419
  • [27] Existence Results for Sequential Riemann-Liouville and Caputo Fractional Differential Inclusions with Generalized Fractional Integral Conditions
    Tariboon, Jessada
    Ntouyas, Sotiris K.
    Ahmad, Bashir
    Alsaedi, Ahmed
    MATHEMATICS, 2020, 8 (06)
  • [28] Sequential Riemann-Liouville and Hadamard-Caputo Fractional Differential Equation with Iterated Fractional Integrals Conditions
    Ntouyas, Sotiris K.
    Sitho, Surang
    Khoployklang, Teerasak
    Tariboon, Jessada
    AXIOMS, 2021, 10 (04)
  • [29] Charging and Discharging RCα Circuit Under Riemann-Liouville and Caputo Fractional Derivatives
    AbdelAty, Amr M.
    Radwan, Ahmed G.
    Ahmed, Waleed A.
    Faied, Mariam
    2016 13TH INTERNATIONAL CONFERENCE ON ELECTRICAL ENGINEERING/ELECTRONICS, COMPUTER, TELECOMMUNICATIONS AND INFORMATION TECHNOLOGY (ECTI-CON), 2016,
  • [30] Laplace Transform Method for Linear Sequential Riemann Liouville and Caputo Fractional Differential Equations
    Vatsala, Aghalaya S.
    Sowmya, M.
    ICNPAA 2016 WORLD CONGRESS: 11TH INTERNATIONAL CONFERENCE ON MATHEMATICAL PROBLEMS IN ENGINEERING, AEROSPACE AND SCIENCES, 2017, 1798