English

A nonlocal fractional Helmholtz equation

Analysis of PDEs 2018-02-06 v1

Abstract

In this paper we study some boundary value problems for a fractional analogue of second order elliptic equation with an involution perturbation in a rectangular domain. Theorems on existence and uniqueness of a solution of the considered problems are proved by spectral method.

Keywords

Cite

@article{arxiv.1608.02135,
  title  = {A nonlocal fractional Helmholtz equation},
  author = {Mokhtar Kirane and Batirkhan K. Turmetov and Berikbol T. Torebek},
  journal= {arXiv preprint arXiv:1608.02135},
  year   = {2018}
}

Comments

10 pages

R2 v1 2026-06-22T15:13:59.839Z