Positive solutions to p-Laplacian fractional differential equations with infinite-point boundary value conditions

This paper is devoted to an investigation of the multiple positive solutions to a class of infinite-point boundary value problems of nonlinear fractional differential equations coupled with the p-Laplacian operators and infinite-point boundary value conditions. By means of the properties of Green’s...

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Veröffentlicht in:Advances in difference equations 2018-11, Vol.2018 (1), p.1-15, Article 425
Hauptverfasser: Wang, Han, Liu, Suli, Li, Huilai
Format: Artikel
Sprache:eng
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Zusammenfassung:This paper is devoted to an investigation of the multiple positive solutions to a class of infinite-point boundary value problems of nonlinear fractional differential equations coupled with the p-Laplacian operators and infinite-point boundary value conditions. By means of the properties of Green’s function and fixed point theorems, we establish the suitable criteria to guarantee the existence of positive solutions. Finally, an example is given in order to illustrate the main results.
ISSN:1687-1847
1687-1839
1687-1847
DOI:10.1186/s13662-018-1886-2