Positive Solutions of Nonlocal Boundary Value Problem for High-Order Nonlinear Fractional -Difference Equations-Reference-Cited by-同舟云学术

Positive Solutions of Nonlocal Boundary Value Problem for High-Order Nonlinear Fractional -Difference Equations

Published:2013 Issue: Volume:2013 Page:1-9
ISSN:1085-3375
Container-title:Abstract and Applied Analysis
language:en
Short-container-title:Abstract and Applied Analysis

Author:

Yu Changlong¹^ORCID,Wang Jufang¹

Affiliation:

1. College of Sciences, Hebei University of Science and Technology, Shijiazhuang, Hebei 050018, China

Abstract

We study the nonlinear -difference equations of fractional order , , , , , where is the fractional -derivative of the Riemann-Liouville type of order , , , , and . We obtain the existence and multiplicity results of positive solutions by using some fixed point theorems. Finally, we give examples to illustrate the results.

Funder

National Natural Science Foundation of China

Publisher

Hindawi Limited

Subject

Applied Mathematics,Analysis

Link

http://downloads.hindawi.com/journals/aaa/2013/928147.pdf

Reference30 articles.

1. Boundary Value Problems forq-Difference Inclusions

2. Homoclinic solutions for a forced generalized Liénard system

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