Article

A Boundary Value Problem with Conjugation Conditions for a Degenerate Equation with the Caputo Fractional Derivative

B. Yu. IrgashevNamangan Engineering Construction Institute, 160103, Namangan, Uzbekistan

Russian Mathematicsjournal2022en

ABI

Abstract

In this paper, for a degenerate higher-order equation with a fractional derivative in the sense of Caputo, a nonlocal problem with conjugation conditions in a rectangular domain is studied. The solution is constructed in the form of a Fourier series in the eigenfunctions of a one-dimensional problem. A criterion for uniqueness of a solution is given.

Topics

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

Identifiers

DOI: 10.3103/s1066369x2204003x

Citations and references

Cited by 4 12 references

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