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Works cited by this work

14 works

Work: Obtaining a representation of the solution of the Cauchy problem for one equation with a fractional derivative and applying it to the equation of forced beam vibrations

  1. Applications of Fractional Calculus in Physics

    R. Hilfer

    Book200065 citations
    ABI

  2. OPERATIONAL METHOD FOR THE SOLUTION OF FRACTIONAL DIFFERENTIAL EQUATIONS WITH GENERALIZED RIEMANN-LIOUVILLE FRACTIONAL DERIVATIVES

    R. Hilfer, Yury Luchko

    Article201623 citations
    ABI

  3. Cauchy problem for the beam vibration equation

    К. Б. Сабитов

    Article201715 citations
    ABI

  4. The realization of the generalized transfer equation in a medium with fractal geometry

    Р. Р. Нигматуллин

    Article19868 citations
    ABI

  5. Fractional diffusion equation with a generalized Riemann–Liouville time fractional derivative

    Trifce Sandev, Ralf Metzler, Živorad Tomovski

    Article20117 citations
    ABI

  6. THE GENERALIZED BESSEL FUNCTION OF ORDER GREATER THAN ONE

    E. M. Wright

    Article19405 citations
    ABI

  7. To the Theoretical Explanation of the “Universal Response”

    Р. Р. Нигматуллин

    Article19845 citations
    ABI

  8. The Cauchy problem for the diffusion-wave equation with the Caputo partial derivative

    Александр Александрович Ворошилов, Anatoly A. Kilbas

    Article20065 citations
    ABI

  9. Fundamental solutions and Cauchy problems for an odd-order partial differential equation with fractional derivative

    А. В. Псху

    Article20195 citations
    ABI

  10. Generalized space–time fractional diffusion equation with composite fractional time derivative

    Živorad Tomovski, Trifce Sandev, Ralf Metzler +1

    Article20114 citations
    ABI

  11. On a nonlocal problem for a fourth-order mixed-type equation with the Hilfer operator

    B. J. Kadirkulov, M. A. Jalilov

    ArticleDifferential Equations and Boundary ProblemsBULLETIN OF THE KARAGANDA UNIVERSITY-MATHEMATICS20214 citations
    ABI

  12. Фундаментальное решение диффузионно-волнового уравнения дробного порядка

    А. В. Псху

    Article20094 citations
    ABI

  13. Introduction to the Theory of Fourier Integrals

    A. C. Offord

    Article19383 citations
    ABI

  14. Hypergeometric Functions

    Selçuk Ş. Bayın

    Other20182 citations
    ABI