of Applied Mathematics Scientific and Practical Conference Karshi state university 24-25 may, 2024 y. INITIAL-BOUNDARY VALUE PROBLEM ON -DIMENSIONAL TORUS FOR A TIMEFRACTIONAL SUBDIFFUSION EQUATION WITH AN ARBITRARY ELLIPTIC DIFFERENTIAL OPERATOR
of Applied Mathematics Scientific and Practical Conference Karshi state university 24-25 may, 2024 y. INITIAL-BOUNDARY VALUE PROBLEM ON -DIMENSIONAL TORUS FOR A TIMEFRACTIONAL SUBDIFFUSION EQUATION WITH AN ARBITRARY ELLIPTIC DIFFERENTIAL OPERATOR
Abstract
An initial-boundary value problem for a time-fractional subdiffusion equation with an arbitrary
order elliptic differential operator is considered on -dimensional torus. Uniqueness and existence of
the classical solution of the posed problem are proved by the classical Fourier method. Sufficient
conditions for the initial function and for the right-hand side of the equation are indicated, under which
the corresponding Fourier series converge absolutely and uniformly.
References
Pskhu, A.V.: Fractional partial differential equations (in Russian), M. NAUKA (2005)
Alimov, Sh.A., Ashurov, R.R., Pulatov, A.K.: Multiple Fourier Series and Fourier Integrals.
Commutative Harmonic Analysis, Springer, Berlin (1992)
Published
2024-06-07
How to Cite
Ashurov, R., & Mukhiddinova, O. (2024). of Applied Mathematics Scientific and Practical Conference Karshi state university 24-25 may, 2024 y. INITIAL-BOUNDARY VALUE PROBLEM ON -DIMENSIONAL TORUS FOR A TIMEFRACTIONAL SUBDIFFUSION EQUATION WITH AN ARBITRARY ELLIPTIC DIFFERENTIAL OPERATOR: of Applied Mathematics Scientific and Practical Conference Karshi state university 24-25 may, 2024 y. INITIAL-BOUNDARY VALUE PROBLEM ON -DIMENSIONAL TORUS FOR A TIMEFRACTIONAL SUBDIFFUSION EQUATION WITH AN ARBITRARY ELLIPTIC DIFFERENTIAL OPERATOR. MODERN PROBLEMS AND PROSPECTS OF APPLIED MATHEMATICS, 1(01). Retrieved from https://ojs.qarshidu.uz/index.php/mp/article/view/550
Issue
Section
Mathematical analysis, differential equations and equations of mathematical physics
