## Abstract and Applied Analysis

- Abstr. Appl. Anal.
- Volume 2014, Special Issue (2013), Article ID 925010, 9 pages.

### Positive Solutions for the Eigenvalue Problem of Semipositone Fractional Order Differential Equation with Multipoint Boundary Conditions

**Full-text: Open access**

#### Abstract

We study the existence of positive solution for the eigenvalue problem of semipositone fractional order differential equation with multipoint boundary conditions by using known Krasnosel'skii's fixed point theorem. Some sufficient conditions that guarantee the existence of at least one positive solution for eigenvalues $\lambda >0$ sufficiently small and $\lambda >0$ sufficiently large are established.

#### Article information

**Source**

Abstr. Appl. Anal., Volume 2014, Special Issue (2013), Article ID 925010, 9 pages.

**Dates**

First available in Project Euclid: 2 October 2014

**Permanent link to this document**

https://projecteuclid.org/euclid.aaa/1412279736

**Digital Object Identifier**

doi:10.1155/2014/925010

**Mathematical Reviews number (MathSciNet)**

MR3198274

#### Citation

Dong, Ge. Positive Solutions for the Eigenvalue Problem of Semipositone Fractional Order Differential Equation with Multipoint Boundary Conditions. Abstr. Appl. Anal. 2014, Special Issue (2013), Article ID 925010, 9 pages. doi:10.1155/2014/925010. https://projecteuclid.org/euclid.aaa/1412279736

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