Khaled Ben Ali, Abdeljabbar Ghanmi, Khaled Kefi
Abstract:
In this article, we apply the Nehari manifold to prove the existence
of a solution of the fractional differential equation
where
are the left and right
Riemann-Liouville fractional integrals, respectively, of order
.
Submitted January 28, 2016. Published May 10, 2016.
Math Subject Classifications: 26A33, 58E05, 35J60.
Key Words: Fractional differential equation; left and right fractional derivatives;
boundary value problem; Nehari manifold.
Show me the PDF file (234 KB), TEX file for this article.
Khaled Ben Ali Département de Mathématiques Faculté des Sciences de Tunis Campus Universitaire, 2092 Tunis, Tunisia email: benali.khaled@yahoo.fr | |
Abdeljabbar Ghanmi Department of Mathematics Faculty of Sciences and Arts Khulais, University of Jeddah, Saudi Arabia email: Abdeljabbar.ghanmi@lamsin.rnu.tn | |
Khaled Kefi Département de Mathématiques Faculté des Sciences de Tunis Campus Universitaire, 2092 Tunis, Tunisia email: khaled_kefi@yahoo.fr |
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