Imed Bachar, Habib Maagli, Vicentiu D. Radulescu
Abstract:
Using a perturbation argument, we establish the existence and uniqueness of a
positive continuous solution for the following superlinear Riemann-Liouville
fractional boundary-value problem
where
and
satisfies a suitable
integrability condition.
Submitted August 18, 2017. Published October 4, 2017.
Math Subject Classifications: 34A08, 34B15, 34B18, 34B27.
Key Words: Fractional differential equation; positive solution;
Green's function; perturbation; Schauder fixed point theorem.
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Imed Bachar King Saud University Department of Mathematics, College of Science P.O. Box 2455, Riyadh 11451, Saudi Arabia email: abachar@ksu.edu.sa | |
Habib Mâagli Department of Mathematics College of Sciences and Arts King Abdulaziz University Rabigh Campus P.O. Box 344 Rabigh 21911, Saudi Arabia email: abobaker@kau.edu.sa, habib.maagli@fst.rnu.tn | |
Vicentiu D. Radulescu Department of Mathematics Faculty of Sciences King Abdulaziz University P.O. Box 80203, Jeddah 21589, Saudi Arabia email: vicentiu.radulescu@math.cnrs.fr |
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