All Stories

  1. EXISTENCE AND UNIQUENESS OF SOLUTIONS TO PROBLEM WITH FRACTIONAL BESSEL DERIVATIVES

    Article • Journal of Mathematical Sciences, December 2025, Springer Science + Business Media

    Dr Shakhobiddin T. Karimov

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

    Article • Journal of Mathematical Sciences, October 2025, Springer Science + Business Media

    Dr Shakhobiddin T. Karimov

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

    Article • January 2025, American Institute of Physics

    Dr Shakhobiddin T. Karimov

  4. Approximate Calculation of the Generalized Erdélyi-Kober Operator Using a Cubic Spline

    Article • Revista Internacional de Métodos Numéricos para Cálculo y Diseño en Ingeniería, January 2025, Scipedia, S.L.

    Dr Shakhobiddin T. Karimov

  5. Математическая дробная модель Зимана для описания сердечных сокращений

    Article • Вестник КРАУНЦ Физико-математические науки, November 2024, Institute of Cosmophysical Research and Radio Wave Propagation Far Eastern Branch of the Russian Academy of Sciences

    Dr Shakhobiddin T. Karimov

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

    Article • Lobachevskii Journal of Mathematics, September 2024, Pleiades Publishing Ltd

    Dr Shakhobiddin T. Karimov

  7. A Cauchy Problem for the Boussinesq–Love Equation with the Bessel Operator

    Article • Lobachevskii Journal of Mathematics, September 2024, Pleiades Publishing Ltd

    Dr Shakhobiddin T. Karimov

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

    Article • Lobachevskii Journal of Mathematics, September 2024, Pleiades Publishing Ltd

    Dr Shakhobiddin T. Karimov

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

    Article • Mathematics, August 2024, MDPI AG

    Dr Shakhobiddin T. Karimov

  10. 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

    Article • June 2024, MDPI AG

    Dr Shakhobiddin T. Karimov

  11. The Cauchy Problem for the Degenerate Beam Vibration Equation

    Article • Journal of Mathematical Sciences, December 2023, Springer Science + Business Media

    Dr Shakhobiddin T. Karimov

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

    Article • Lobachevskii Journal of Mathematics, August 2023, Pleiades Publishing Ltd

    Dr Shakhobiddin T. Karimov

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

    Article • Lobachevskii Journal of Mathematics, August 2023, Pleiades Publishing Ltd

    Dr Shakhobiddin T. Karimov

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

    Article • Boletín de la Sociedad Matemática Mexicana, March 2023, Springer Science + Business Media

    Dr Shakhobiddin T. Karimov

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

    Article • Mathematics, February 2023, MDPI AG

    Dr Shakhobiddin T. Karimov

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

    Article • January 2023, American Institute of Physics

    Dr Shakhobiddin T. Karimov

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

    Article • January 2023, American Institute of Physics

    Dr Shakhobiddin T. Karimov

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

    Article • Journal of Mathematical Sciences, April 2021, Springer Science + Business Media

    Dr Shakhobiddin T. Karimov

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

    Article • Lobachevskii Journal of Mathematics, June 2020, Pleiades Publishing Ltd

    Dr Shakhobiddin T. Karimov

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

    Article • Lobachevskii Journal of Mathematics, May 2020, Pleiades Publishing Ltd

    Dr Shakhobiddin T. Karimov

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

    Article • Lobachevskii Journal of Mathematics, January 2020, Pleiades Publishing Ltd

    Dr Shakhobiddin T. Karimov

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

    Article • January 2020, Springer Science + Business Media

    Dr Shakhobiddin T. Karimov

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

    Article • Journal of Physics Conference Series, April 2019, Institute of Physics Publishing

    Dr Shakhobiddin T. Karimov

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

    Article • Ukrainian Mathematical Journal, March 2018, Springer Science + Business Media

    Dr Shakhobiddin T. Karimov

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

    Article • Filomat, January 2018, National Library of Serbia

    Dr Shakhobiddin T. Karimov

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

    Article • Russian Mathematics, July 2017, Allerton Press

    Dr Shakhobiddin T. Karimov

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

    Article • Fractional Calculus and Applied Analysis, January 2015, De Gruyter

    Dr Shakhobiddin T. Karimov

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

    Article • January 2013, Springer Science + Business Media

    Dr Shakhobiddin T. Karimov