EXISTENCE OF POSITIVE SOLUTIONS TO A BOUNDARY VALUE PROBLEM FOR A DELAYED SINGULAR HIGH ORDER FRACTIONAL DIFFERENTIAL EQUATION WITH SIGN-CHANGING NONLINEARITY

EXISTENCE OF POSITIVE SOLUTIONS TO A BOUNDARY VALUE PROBLEM FOR A DELAYED SINGULAR HIGH ORDER FRACTIONAL DIFFERENTIAL EQUATION WITH SIGN-CHANGING NONLINEARITY

In this paper, we discuss the existence of positive solutions to the boundary value problem for a high order fractional differential equation with delay and singularities including changing sign nonlinearity. By using the properties of the Green function, Guo-krasnosel'skii fixed point theorem,...

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Veröffentlicht in:Journal of applied analysis and computation 2020, Vol.10 (3), p.1073-1093
Hauptverfasser: Liu, Dongyue, Zhang, Kemei
Format: Artikel
Sprache:eng
Schlagworte:
Mathematics
Mathematics, Applied
Physical Sciences
Science & Technology
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Zusammenfassung:In this paper, we discuss the existence of positive solutions to the boundary value problem for a high order fractional differential equation with delay and singularities including changing sign nonlinearity. By using the properties of the Green function, Guo-krasnosel'skii fixed point theorem, Leray-Schauder's nonlinear alternative theorem, some existence results of positive solutions are obtained, respectively.
ISSN:2156-907X
2158-5644
DOI:10.11948/20190190