Majda Chaieb, Abdelwaheb Dhifli, Malek Zribi
Abstract:
Using potential theory arguments, we study the existence and
boundary behavior of positive solutions in the space of weighted
continuous functions, for the fractional differential system
where
,
,
for
and
are positive continuous functions on
satisfying a suitable
condition relying on fractional potential properties.
Submitted February 27, 2016 Published June 7, 2016.
Math Subject Classifications: 26A33, 31B25, 34A12, 34B18.
Key Words: Fractional differential system; positive solution;
potential theory; Schauder fixed point theorem.
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Majda Chaieb Département de Mathématiques Faculté des Sciences de Tunis Campus Universitaire, 2092 Tunis, Tunisia email: majda.chaieb@gmail.com | |
Abdelwaheb Dhifli Département de Mathématiques Faculté des Sciences de Tunis Campus Universitaire, 2092 Tunis, Tunisia email: dhifli_waheb@yahoo.fr | |
Malek Zribi Département de Mathématiques Faculté des Sciences de Tunis Campus Universitaire, 2092 Tunis, Tunisia email: malek.zribi@insat.rnu.tn |
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