Multiplicity of solutions for integral boundary value problems of fractional differential equations with upper and lower solutions

Mei Jia and Xiping Liu

Applied Mathematics and Computation, 2014, vol. 232, issue C, 313-323

Abstract: In this paper, we study the existence of multiple solutions for the integral boundary value problems of fractional differential equations by the method of upper and lower solutions and Leray–Schauder degree theory. The sufficient conditions about the existence of at least three solutions are obtained. Moreover, it is proved that the integral boundary value problem has at least three positive solutions under the conditions of M=0 and f is nonnegative. By given two upper and lower solutions which can be easily obtained through our methods, we can present the existence theorem of at least three solutions. Two examples are also included to illustrate the effectiveness of the proposed results.

Keywords: Fractional differential equations; Integral boundary value problems; Multiplicity of solutions; Upper and lower solutions; Leray–Schauder degree theory (search for similar items in EconPapers)
Date: 2014
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (5)

Downloads: (external link)
http://www.sciencedirect.com/science/article/pii/S0096300314001106
Full text for ScienceDirect subscribers only

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:232:y:2014:i:c:p:313-323

DOI: 10.1016/j.amc.2014.01.073

Access Statistics for this article

Applied Mathematics and Computation is currently edited by Theodore Simos

More articles in Applied Mathematics and Computation from Elsevier
Bibliographic data for series maintained by Catherine Liu ().