On a fractional boundary value problem with a perturbation term

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

doi:10.11948/2017004

On a fractional boundary value problem with a perturbation term

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

Mathematics

Research output: Contribution to journal › Article › peer-review

13 Scopus citations

Abstract

In this paper, the authors study a nonlinear fractional boundary value problem of order α with 2 < α < 3. The associated Green's function is derived as a series of functions. Criteria for the existence and uniqueness of positive solutions are then established based on it.

Original language	English (US)
Pages (from-to)	57-66
Number of pages	10
Journal	Journal of Applied Analysis and Computation
Volume	7
Issue number	1
DOIs	https://doi.org/10.11948/2017004
State	Published - Feb 2017

All Science Journal Classification (ASJC) codes

General Mathematics

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10.11948/2017004

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title = "On a fractional boundary value problem with a perturbation term",

abstract = "In this paper, the authors study a nonlinear fractional boundary value problem of order α with 2 < α < 3. The associated Green's function is derived as a series of functions. Criteria for the existence and uniqueness of positive solutions are then established based on it.",

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AU - Kong, Qingkai

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On a fractional boundary value problem with a perturbation term

Abstract

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