Habib Maagli, Abdelwaheb Dhifli
We study the existence, uniqueness, and asymptotic behavior of positive continuous solutions to the fractional Navier boundary-value problem
where such that , and stand for the standard Riemann-Liouville fractional derivatives, and p being a nonnegative continuous function in (0,1) that may be singular at x=0 and satisfies some conditions related to the Karamata regular variation theory. Our approach is based on the Schauder fixed point theorem.
Submitted February 11, 2017. Published May 25, 2017.
Math Subject Classifications: 34A08, 34B15, 34B18, 34B27.
Key Words: Fractional Navier differential equations; Dirichlet problem; positive solution; asymptotic behavior; Schauder fixed point theorem.
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| Habib Mâagli |
King Abdulaziz University, Rabigh Campus
College of Sciences and Arts
Department of Mathematics, P.O. Box 344
Rabigh 21911, Saudi Arabia
| Abdelwaheb Dhifli |
Département de Mathématiques
Faculté des Sciences de Tunis
2092 Tunis, Tunisia
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