On the convergence of difference schemes for differential equations with a fractional derivative
type: Item
instance of: scholarly article
title: On the convergence of difference schemes for differential equations with a fractional derivative
zbMATH Open document ID: 0895.65037
author: M. Kh. Shkhanukov
published in: Doklady Mathematics
publication date: 1998-05-03T00:00:00Z
review text: The author gives some statements on convergence of Samarskij's type difference schemes for the boundary value problem \[ \frac{d}{dx} \left[k(x)\frac{du}{dx}\right] -r(x)D_{0x}^\alpha u - q(x)u= -f(x), \quad u(0)=u(1)=0, \] where \(k(x)\geq c_0>0, r(x)\geq 0\), \(q(x)\geq 0\) and \(D_{0x}^\alpha u\) is the Riemann-Liouville fractional derivative, \(0< \alpha <1\).
Mathematics Subject Classification ID: 65L10
Mathematics Subject Classification ID: 26A33
Mathematics Subject Classification ID: 65L12
Mathematics Subject Classification ID: 34B05
zbMATH DE Number: 1122791
zbMATH Keywords: differential equations of fractional order
zbMATH Keywords: difference schemes
zbMATH Keywords: convergence
reviewed by: S. G. Samko
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 1122791