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Работы, на которые ссылается эта работа

Работ: 36

Работа: Time-Optimal Control of Thin-Film Growth under a Time-Fractional fourth-order parabolic Equation with Caputo Derivative

  1. Mittag-Leffler Functions, Related Topics and Applications

    Rudolf Gorenflo, Anatoly A. Kilbas, Francesco Mainardi +1

    Книга2014Цитирований: 53
    ABI

  2. On a Time-Optimal Control Problem Associated with the Heat Exchange Process

    Sergio Albeverio, Shavkat Alimov

    СтатьяStability and Controllability of Differential EquationsApplied Mathematics & Optimization2007Цитирований: 39
    ABI

  3. Inverse problem of determining an order of the Caputo time-fractional derivative for a subdiffusion equation

    Shavkat Alimov, Ravshan Ashurov

    СтатьяFractional Differential Equations SolutionsJournal of Inverse and Ill-Posed Problems2020Цитирований: 32
    ABI

  4. Optimal control for parabolic equations

    Avner Friedman

    Статья1967Цитирований: 14
    ABI

  5. The Analysis of Fractional Differential Equations

    Kai Diethelm

    Книга2010Цитирований: 8
    ABI

  6. Exact controllability theorems for linear parabolic equations in one space dimension

    H. O. Fattorini, David L. Russell

    Статья1971Цитирований: 8
    ABI

  7. On the boundary control problem associated with a fourth order parabolic equation in a two-dimensional domain

    Farrukh Dekhkonov, Wenke Li

    СтатьяStability and Controllability of Differential EquationsDiscrete and Continuous Dynamical Systems - S2024Цитирований: 7
    ABI

  8. Inverse problem for subdiffusion equation with fractional Caputo derivative

    Ravshan Radzhabovich Ashurov, Marjona Shakarova

    СтатьяFractional Differential Equations SolutionsUfimskii Matematicheskii Zhurnal2024Цитирований: 7
    ABI

  9. On one boundary control problem for a pseudo-parabolic equation in a two-dimensional domain

    Farrukh Dekhkonov

    СтатьяStability and Controllability of Differential EquationsCommunications in Analysis and Mechanics2025Цитирований: 6
    ABI

  10. A fourth-order parabolic equation modeling epitaxial thin film growth

    B.B. King, Oliver Stein, Michael Winkler

    Статья2003Цитирований: 6
    ABI

  11. Global dynamical behavior of solutions for finite degenerate fourth-order parabolic equations with mean curvature nonlinearity

    Yuxuan Chen

    Статья2023Цитирований: 6
    ABI

  12. TIME OPTIMAL CONTROL PROBLEM WITH INTEGRAL CONSTRAINT FOR THE HEAT TRANSFER PROCESS

    Shavkat Alimov, Gafurjan Ibragimov

    Статья2024Цитирований: 6
    ABI

  13. Global well-posedness and global attractor of fourth order semilinear parabolic equation

    Runzhang Xu, Tianlong Chen, Chunmei Liu +1

    Статья2014Цитирований: 5
    ABI

  14. On the time-optimal control problem for a fourth order parabolic equation in a two-dimensional domain

    Farrukh Dekhkonov

    СтатьяDifferential Equations and Boundary ProblemsBULLETIN OF THE KARAGANDA UNIVERSITY-MATHEMATICS2024Цитирований: 3
    ABI

  15. Über Integralgleichungen mit positivem Kern.

    Robert Jentzsch

    Статья1912Цитирований: 3
    ABI

  16. Sign Change for the Green Function¶and for the First Eigenfunction¶of Equations of Clamped-Plate Type

    Hans-Christoph Grunau, Guido Sweers

    Статья1999Цитирований: 3
    ABI

  17. A partial differential equation arising in conformal mapping

    P. R. Garabedian

    Статья1951Цитирований: 3
    ABI

  18. On a Question of Hadamard Concerning Super‐Biharmonic Functions

    R. J. Duffin

    Статья1948Цитирований: 3
    ABI

  19. Time-Optimal Boundary Control for Systems Defined by a Fractional Order Diffusion Equation

    В. А. Кубышкин, S. S. Postnov

    Статья2018Цитирований: 3
    ABI

  20. Semilinear Caputo time-fractional pseudo-parabolic equations

    Nguyen Huy Tuan, Vo Van Au, Runzhang Xu

    Статья2020Цитирований: 2
    ABI

  21. Global well-posedness for fractional Sobolev-Galpern type equations

    Huy Tuan Nguyen, Nguyễn Anh Tuấn, Chao Yang

    Статья2022Цитирований: 2
    ABI

  22. Bang-Bang Property and Time-Optimal Control for Caputo Fractional Differential Systems

    Shimaa H. Abel-Gaid, Ahlam Hasan Qamlo, Bahaa Gaber Mohamed

    Статья2024Цитирований: 2
    ABI

  23. Global well‐posedness of the variable‐order fractional wave equation with variable exponent nonlinearity

    Qiang Lin, Runzhang Xu

    Статья2025Цитирований: 2
    ABI

  24. On the time-optimal control problem for a fourth order parabolic equation in the three-dimensional space

    Farrukh Dekhkonov, Wenke Li, Weipeng Wu

    СтатьяAdvanced Mathematical Modeling in EngineeringCommunications in Analysis and Mechanics2025Цитирований: 1
    ABI

  25. Без названия

    ДругоеЦитирований: 1
    ABI