On a problem with conjugation conditions for an equation of even order with a fractional derivative in the sense of Caputo

2021/06/08 by B. Yu. Irgashev, Irgashev, B. Yu.
Mathematics · #2020.35G15 #Analysis of PDEs (math.AP) #Differential Equations and Boundary Problems #FOS: Mathematics #Fractional Differential Equations Solutions #Nonlinear Differential Equations Analysis

paper · pdf · doi:10.48550/arxiv.2106.04296

openalex publication_date 2021/06/08 · openalex created_date 2021/06/22 · openalex updated_date 2026/07/28

Abstract

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

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