Positive Solutions of Nonlinear Fractional Differential Equations with Integral Boundary Value Conditions-Reference-Cited by-同舟云学术

Positive Solutions of Nonlinear Fractional Differential Equations with Integral Boundary Value Conditions

Published:2012 Issue: Volume:2012 Page:1-11
ISSN:1085-3375
Container-title:Abstract and Applied Analysis
language:en
Short-container-title:Abstract and Applied Analysis

Author:

Caballero J.¹,Cabrera I.¹,Sadarangani K.¹^ORCID

Affiliation:

1. Departamento de Matemáticas, Universidad de Las Palmas de Gran Canaria, Campus de Tafira Baja, 35017 Las Palmas de Gran Canaria, Spain

Abstract

We investigate the existence and uniqueness of positive solutions of the following nonlinear fractional differential equation with integral boundary value conditions, , , where , and is the Caputo fractional derivative and is a continuous function. Our analysis relies on a fixed point theorem in partially ordered sets. Moreover, we compare our results with others that appear in the literature.

Publisher

Hindawi Limited

Subject

Applied Mathematics,Analysis

Link

http://downloads.hindawi.com/journals/aaa/2012/303545.pdf

Reference37 articles.

1. Positive solutions for boundary value problem of nonlinear fractional differential equation

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3. On the solution of some simple fractional differential equations

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5. Differential equations of fractional order:methods results and problem —I

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