Method of upper and lower solutions for nonlinear Caputo fractional difference equations and its applications-Reference-Cited by-同舟云学术

Method of upper and lower solutions for nonlinear Caputo fractional difference equations and its applications

Published:2019-10-01 Issue:5 Volume:22 Page:1307-1320
ISSN:1314-2224
Container-title:Fractional Calculus and Applied Analysis
language:en
Short-container-title:

Author:

Chen Churong¹,Bohner Martin²,Jia Baoguo³

Affiliation:

1. School of Mathematics , Sun Yat-Sen University , Guangzhou , 510275 , China

2. Department of Mathematics and Statistics , Missouri University of Science and Technology , Rolla , 65409 , USA

3. School of Mathematics , Sun Yat-Sen University Guangdong Province Key Laboratory of Computational Science , Guangzhou , 510275 , China

Abstract

Abstract In this paper, we extend the applications of the method of upper and lower solutions for a class of nonlinear nabla fractional difference equations involving Caputo derivative. We obtain the existence of coupled minimal and maximal solutions which constructed by two monotone sequences. In order to illustrate our main results, we present two numerical examples in the end.

Publisher

Walter de Gruyter GmbH

Subject

Applied Mathematics,Analysis

Link

https://www.degruyter.com/document/doi/10.1515/fca-2019-0069/pdf

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