COMBINED EFFECTS IN FRACTIONAL TWO-POINT BOUNDARY VALUE PROBLEMS
FATEN TOUMI
Département de Mathématiques, Faculté des Sciences de Tunis, Campus Universitaire P.O.Box 2092, Tunis, Tunisia.
ZAGHARIDE ZINE EL ABIDINE *
Departement de Mathematiques, Faculte des Sciences de Tunis, Campus Universitaire P.O.Box 2092, Tunis, Tunisia.
*Author to whom correspondence should be addressed.
Abstract
In this paper, by employing the Schäuder fixed point theorem and the Karamata regular variation theory, we investigate the existence, uniqueness and the asymptotic behavior of a positive solution for a class of Riemann-Liouville fractional differential equations via two-point boundary value conditions. Also, an example is given for illustration.
Keywords: Fractional differential equation, positive solution, asymptotic behavior, Karamata function, Schäuder fixed point theorem