Sh. T. Karimov

26 works

Ferghana State University “Murabbiylar”, Str., 19, Ferghana City, 150100, Uzbekistan

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

   ABIABI:AkademIndex/openalex/2015.article.000074

2. Method of solving the Cauchy problem for one-dimensional polywave equation with singular Bessel operator

   Sh. T. Karimov

   ArticleDifferential Equations and Boundary ProblemsRussian Mathematics201712 citations

   ABIABI:AkademIndex/openalex/2017.article.000136

3. On some generalizations of properties of the Lowndes operator and their applications to partial differential equations of high order

   Sh. T. Karimov

   ArticleDifferential Equations and Boundary ProblemsFilomat201811 citations

   ABIABI:AkademIndex/openalex/2018.article.000163

4. 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

   ABIABI:AkademIndex/openalex/2020.article.000497

5. Solution of the Goursat Problem for a Fourth-Order Hyperbolic Equation with Singular Coefficients by the Method of Transmutation Operators

   С. М. Ситник, Sh. T. Karimov

   ArticleDifferential Equations and Boundary ProblemsMathematics20238 citations

   ABIABI:AkademIndex/openalex/2023.article.001159

6. On One Method for the Solution of an Analog of the Cauchy Problem for a Polycaloric Equation with Singular Bessel Operator

   Sh. T. Karimov

   ArticleDifferential Equations and Boundary ProblemsUkrainian Mathematical Journal20186 citations

   ABIABI:AkademIndex/openalex/2018.article.000196

7. 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

   ABIABI:AkademIndex/openalex/2020.article.000522

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

   Sh. T. Karimov

   Articleadvanced mathematical theoriesLobachevskii Journal of Mathematics20206 citations

   ABIABI:AkademIndex/openalex/2020.article.000523

9. Some methods of solution to the Cauchy problem for a inhomogeneous equation of hyperbolic type with a Bessel operator

   Sh. T. Karimov, Elina Shishkina

   ArticleDifferential Equations and Boundary ProblemsJournal of Physics Conference Series20195 citations

   ABIABI:AkademIndex/openalex/2019.article.000287

10. 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

    ABIABI:AkademIndex/openalex/2023.article.002032

11. 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

    ABIABI:AkademIndex/openalex/2026.other.205070

12. An Analog of the Cauchy Problem for the Inhomogeneous Multidimensional Polycaloric Equation Containing the Bessel Operator

    Sh. T. Karimov

    ArticleDifferential Equations and Boundary ProblemsJournal of Mathematical Sciences20214 citations

    ABIABI:AkademIndex/openalex/2026.other.374396

13. О НЕКОТОРЫХ ОБОБЩЕНИЯХ СВОЙСТВ ОПЕРАТОРА ЭРДЕЙИ-КОБЕРА И ИХ ПРИЛОЖЕНИЯ

    Sh. T. Karimov

    ArticleAerospace Engineering and Control SystemsDOAJ (DOAJ: Directory of Open Access Journals)20173 citations

    ABIABI:AkademIndex/openalex/2026.other.386263

14. 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

    ABIABI:AkademIndex/openalex/2023.article.002713

15. 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

    ABIABI:AkademIndex/openalex/2026.other.432490

16. Solution of a Characteristic Problem for the Third Order Pseudoparabolic Equation with the Bessel Operator by the Method of Transmutation Operators

    Sh. T. Karimov, Kh. A. Yulbarsov

    ArticleDifferential Equations and Boundary ProblemsLobachevskii Journal of Mathematics20231 citations

    ABIABI:AkademIndex/openalex/2023.article.004091

17. Approximation of the Erdélyi–Kober Operator Using Cubic Spline Interpolation

    Sh. T. Karimov, E. R. Islamov

    ArticleFractional Differential Equations SolutionsLobachevskii Journal of Mathematics20241 citations

    ABIABI:AkademIndex/openalex/2024.article.002547

18. 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

    ABIABI:AkademIndex/openalex/2020.chapter.000022

19. The Goursat problem for a third-order pseudo-parabolic equation with the Bessel operator

    Sh. T. Karimov, Khojiakbar Akbarovich Yulbarsov

    ArticleDifferential Equations and Boundary ProblemsAIP conference proceedings20230 citations

    ABIABI:AkademIndex/openalex/2023.article.002562

20. Characteristic problem for the Boussinesq-Love equation with singular coefficients

    Sh. T. Karimov, Shukrullo A. Oripov

    ArticleAdvanced Mathematical Physics ProblemsAIP conference proceedings20230 citations

    ABIABI:AkademIndex/openalex/2023.article.008085

21. Solution of an Initial Boundary Value Problem for a Multidimensional Fourth-Order Equation Containing the Bessel Operator

    Sh. T. Karimov, Yorkinoy Tulasheva

    ArticleDifferential Equations and Boundary ProblemsMathematics20240 citations

    ABIABI:AkademIndex/openalex/2024.article.007666

22. A Cauchy Problem for a Third-Order Pseudo-Parabolic Equation with the Bessel Operator

    С. М. Ситник, Sh. T. Karimov, Kh. A. Yulbarsov

    ArticleDifferential Equations and Boundary ProblemsLobachevskii Journal of Mathematics20240 citations

    ABIABI:AkademIndex/openalex/2024.article.009896

23. Application of the Transmutation Operator Method to the Solution of an Initial Boundary Value Problem for the Equation of Multidimensional Free Transverse Vibration of a Thin Elastic Plate Containing the Bessel Operator

    Sh. T. Karimov, Yorkinoy Tulasheva

    PreprintNumerical methods in engineeringPreprints.org20240 citations

    ABIABI:AkademIndex/openalex/2024.preprint.000143

24. Zeeman’s mathematical fractional model for describing cardiac contractions

    Gulbakhor Israyiljanova, Sh. T. Karimov, Roman Parovik

    ArticleFractional Differential Equations SolutionsAIP conference proceedings20250 citations

    ABIABI:AkademIndex/openalex/2025.article.008384

25. 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

    ABIABI:AkademIndex/openalex/2025.article.009304