This article is cited in 2 papers

On a Problem with Conjugation Conditions for an Equation of Even Order Involving a Caputo Fractional Derivative

B. Yu. Irgashev<sup>ab

a</sup> Namangan Engineering – Building Institute
^b Romanovskii Mathematical Institute, Academy of Sciences of the Republic of Uzbekistan

Abstract: A problem for an equation of high even order involving a Caputo fractional derivative in a rectangular domain with conjugation conditions is studied. A criterion for the uniqueness of the solution is given. The solution is constructed in the form of a Fourier series in eigenfunctions of a one-dimensional problem.

Keywords: even-order equation, Caputo fractional derivative, discontinuous coefficient, conjugation conditions, eigenvalue, eigenfunction, Fourier series.

UDC: 517.954+517.927.25+517.589

Received: 15.06.2021
Revised: 08.02.2022

DOI: 10.4213/mzm13184

 English version: Mathematical Notes, 2022, 112:2, 215–222

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