Fractional boundary value problems with integral boundary conditions

John R. Graef; Lingju Kong; Qingkai Kong; Min Wang

doi:10.1080/00036811.2012.715151

Fractional boundary value problems with integral boundary conditions

John R. Graef, Lingju Kong, Qingkai Kong, Min Wang

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30 Scopus citations

Abstract

In this article, we study a type of nonlinear fractional boundary value problem with integral boundary conditions. By constructing an associated Green's function, applying spectral theory and using fixed point theory on cones, we obtain criteria for the existence, multiplicity and nonexistence of positive solutions.

Original language	English (US)
Pages (from-to)	2008-2020
Number of pages	13
Journal	Applicable Analysis
Volume	92
Issue number	10
DOIs	https://doi.org/10.1080/00036811.2012.715151
State	Published - Oct 2013
Externally published	Yes

All Science Journal Classification (ASJC) codes

Analysis
Applied Mathematics

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10.1080/00036811.2012.715151

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SP - 2008

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JO - Applicable Analysis

JF - Applicable Analysis

IS - 10

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Fractional boundary value problems with integral boundary conditions

Abstract

All Science Journal Classification (ASJC) codes

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