Article

ON THE INVERSE PROBLEM OF THE BITSADZE-SAMARSKII TYPE FOR A FRACTIONAL PARABOLIC EQUATION

R. R. AshurovYassawi International Kazakh-Turkish University, Bekzat Sattarhanov ave., 29, Turkistan, 161200, KazakhstanB. J. KadirkulovTashkent State University of Oriental Studies, Amir Temur Str. 20, Tashkent,100060, UzbekistanBatirkhan TurmetovInstitute of Mathematics, Uzbekistan Academy of Science, University street 9 , Tashkent,100174, Uzbekistan

Problemy analizajournal2023en

ABI

Abstract

In this paper, the inverse problem of the Bitsadze–Samarsky type is studied for a fractional order equation with a Hadamard–Caputo fractional differentiation operator. The problem is solved using the spectral method. The spectral aspects of the obtained problem are investigated, root functions are found, and their basis property is proved. The conjugate problem is investigated. The uniqueness and existence theorems for a regular solution to this problem are proved.

Topics

Differential Equations and Boundary Problems Differential Equations and Numerical Methods Numerical methods in inverse problems

Identifiers

DOI: 10.15393/j3.art.2023.14370

Citations and references

Cited by 2 18 references

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