Existence of positive solutions for fractional differential systems with multi point boundary conditions

Existence of positive solutions for fractional differential systems with multi point boundary conditions

In this paper, we study the existence of positive solutions to the boundary value problem for the fractional differential system where is the Riemann–Liouville fractional derivative of order α . By using the Leggett–Williams fixed point theorem in a cone, the existence of three positive solutions fo...

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Veröffentlicht in:Annali dell'Università di Ferrara. Sezione 7. Scienze matematiche 2013-11, Vol.59 (2), p.375-392
Hauptverfasser: Nyamoradi, Nemat, Bashiri, Tahereh
Format: Artikel
Sprache:eng
Schlagworte:
Algebraic Geometry
Analysis
Geometry
History of Mathematical Sciences
Mathematics
Mathematics and Statistics
Numerical Analysis
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Zusammenfassung:In this paper, we study the existence of positive solutions to the boundary value problem for the fractional differential system where is the Riemann–Liouville fractional derivative of order α . By using the Leggett–Williams fixed point theorem in a cone, the existence of three positive solutions for nonlinear singular boundary value problems is obtained.
ISSN:0430-3202
1827-1510
DOI:10.1007/s11565-012-0160-x