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Works citing this work

11 works

Work: A generalisation of the Erdélyi-Kober operators

  1. Multidimensional Generalized Erdélyi-Kober Operator and its Application to Solving Cauchy Problems for Differential Equations with Singular Coefficients

    Sh. T. Karimov

    ArticleDifferential Equations and Boundary ProblemsFractional Calculus and Applied Analysis201513 citations
    ABI

  2. On the Cauchy Problem for the Iterated Generalized Two-axially Symmetric Equation of Hyperbolic Type

    A. K. Urinov, Sh. T. Karimov

    ArticleDifferential Equations and Boundary ProblemsLobachevskii Journal of Mathematics20208 citations
    ABI

  3. On a Method for Constructing the Riemann Function for Partial Differential Equations with a Singular Bessel Operator

    Sh. T. Karimov, Sh. A. Oripov

    ArticleDifferential Equations and Boundary ProblemsLobachevskii Journal of Mathematics20206 citations
    ABI

  4. The Cauchy Problem for the Iterated Klein–Gordon Equation with the Bessel Operator

    Sh. T. Karimov

    Articleadvanced mathematical theoriesLobachevskii Journal of Mathematics20206 citations
    ABI

  5. Solution of the Cauchy problem for a hyperbolic equation of the fourth order with the Bessel operator by the method of transmutation operators

    Sh. T. Karimov, Shukrullo A. Oripov

    ArticleDifferential Equations and Boundary ProblemsBoletín de la Sociedad Matemática Mexicana20235 citations
    ABI

  6. Solution of the Cauchy Problem for Generalized Euler-Poisson-Darboux Equation by the Method of Fractional Integrals

    A. K. Urinov, Sh. T. Karimov

    ChapterDifferential Equations and Boundary ProblemsSpringer proceedings in mathematics & statistics20135 citations
    ABI

  7. Solution of the Goursat Problem for the Boussinesq–Love Equation with the Bessel Operator by the Method of Transmutation Operators

    Sh. T. Karimov, Sh. A. Oripov

    ArticleDifferential Equations and Boundary ProblemsLobachevskii Journal of Mathematics20232 citations
    ABI

  8. The Cauchy Problem for the Degenerate Beam Vibration Equation

    С. М. Ситник, Sh. T. Karimov, Yorkinoy Tulasheva

    ArticleStability and Controllability of Differential EquationsJournal of Mathematical Sciences20232 citations
    ABI

  9. On Some Generalizations of the Properties of the Multidimensional Generalized Erdélyi–Kober Operators and Their Applications

    Sh. T. Karimov, С. М. Ситник

    ChapterDifferential Equations and Boundary ProblemsTrends in mathematics20200 citations
    ABI

  10. SOLVING THE CAUCHY PROBLEM FOR AN ORDINARY DIFFERENTIAL EQUATION WITH AN INTEGER POWER OF THE BESSEL OPERATOR USING TRANSMUTATION OPERATORS

    С. М. Ситник, Sh. T. Karimov, Akhrorjon Boynazarov

    ArticleDifferential Equations and Boundary ProblemsJournal of Mathematical Sciences20250 citations
    ABI

  11. Approximate calculation of the inverse operator to the generalized Erdélyi-Kober operator using cubic splines

    Shakhobiddin Karimov, Erkinjon Islamov

    ArticleFractional Differential Equations SolutionsComputational Mathematics and Modeling20260 citations
    ABI