Fractional differential repetitive processes with Riemann–Liouville and Caputo derivatives

被引:0
|
作者
Dariusz Idczak
Rafał Kamocki
机构
[1] University of Lodz,Faculty of Mathematics and Computer Science, Chair of Differential Equations and Computer Science
关键词
Riemann–Liouville derivative; Caputo derivative; Differential repetitive process; Existence, uniqueness and continuous dependence of solutions on controls; Reachable set;
D O I
暂无
中图分类号
学科分类号
摘要
In the paper, we study differential repetitive processes with fractional Riemann–Liouville and Caputo derivatives, in the context of the existence, uniqueness and continuous dependence of solutions on controls. Some applications to controllabilty of such processes are given as well.
引用
收藏
页码:193 / 206
页数:13
相关论文
共 50 条
  • [21] 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
  • [22] Cauchy problems for fractional differential equations with Riemann-Liouville fractional derivatives
    Li Kexue
    Peng Jigen
    Jia Junxiong
    JOURNAL OF FUNCTIONAL ANALYSIS, 2012, 263 (02) : 476 - 510
  • [23] Existence of the positive solutions for boundary value problems of mixed differential equations involving the Caputo and Riemann–Liouville fractional derivatives
    Yujing Liu
    Chenguang Yan
    Weihua Jiang
    Boundary Value Problems, 2023
  • [24] 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,
  • [25] On the "walking dead" derivatives: Riemann-Liouville and Caputo
    Ortigueira, Manuel D.
    2014 INTERNATIONAL CONFERENCE ON FRACTIONAL DIFFERENTIATION AND ITS APPLICATIONS (ICFDA), 2014,
  • [26] EQUIVALENCE OF INITIALIZED RIEMANN-LIOUVILLE AND CAPUTO DERIVATIVES
    Yuan, Jian
    Gao, Song
    Xiu, Guozhong
    Shi, Bao
    JOURNAL OF APPLIED ANALYSIS AND COMPUTATION, 2020, 10 (05): : 2008 - 2023
  • [27] A Comparative Analysis of Conformable, Non-conformable, Riemann-Liouville, and Caputo Fractional Derivatives
    Brahim, A. Ait
    El Ghordaf, J.
    El Hajaji, A.
    Hilal, K.
    Valdes, J. E. Napoles
    EUROPEAN JOURNAL OF PURE AND APPLIED MATHEMATICS, 2024, 17 (03): : 1842 - 1854
  • [28] 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
  • [29] A New Numerical Approximation of Fractional Differentiation: Upwind Discretization for Riemann-Liouville and Caputo Derivatives
    Atangana, Abdon
    MATHEMATICAL METHODS IN ENGINEERING: APPLICATIONS IN DYNAMICS OF COMPLEX SYSTEMS, 2019, 24 : 192 - 211
  • [30] Explicit solutions to fractional Stefan-like problems for Caputo and Riemann-Liouville derivatives
    Roscani, Sabrina D.
    Caruso, Nahuel D.
    Tarzia, Domingo A.
    COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION, 2020, 90