Abstract and Applied Analysis

Multiple Positive Solutions of a Singular Semipositone Integral Boundary Value Problem for Fractional q -Derivatives Equation

Yulin Zhao, Guobing Ye, and Haibo Chen

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Abstract

By using the fixed point index theorem, this paper investigates a class of singular semipositone integral boundary value problem for fractional q -derivatives equations and obtains sufficient conditions for the existence of at least two and at least three positive solutions. Further, an example is given to illustrate the applications of our main results.

Article information

Source
Abstr. Appl. Anal., Volume 2013, Special Issue (2012), Article ID 643571, 12 pages.

Dates
First available in Project Euclid: 26 February 2014

Permanent link to this document
https://projecteuclid.org/euclid.aaa/1393450285

Digital Object Identifier
doi:10.1155/2013/643571

Mathematical Reviews number (MathSciNet)
MR3034909

Zentralblatt MATH identifier
1274.34079

Citation

Zhao, Yulin; Ye, Guobing; Chen, Haibo. Multiple Positive Solutions of a Singular Semipositone Integral Boundary Value Problem for Fractional $q$ -Derivatives Equation. Abstr. Appl. Anal. 2013, Special Issue (2012), Article ID 643571, 12 pages. doi:10.1155/2013/643571. https://projecteuclid.org/euclid.aaa/1393450285


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