title: Solvability of a boundary value problem at resonance.
abstract: This paper concerns the solvability of a nonlinear fractional boundary value problem at resonance. By using fixed point theorems we prove that the perturbed problem has a solution, then by some ideas from analysis we show that the original problem is solvable. An example is given to illustrate the obatined results.
authors.affiliation: Laboratory of Advanced Materials, Faculty of Sciences, Badji Mokhtar-Annaba University, P.O. Box 12, 23000 Annaba, Algeria.
authors.forename: A
authors.initials: A
authors.lastname: Guezane-Lakoud
authors.affiliation: Laboratory of Advanced Materials, Faculty of Sciences, Badji Mokhtar-Annaba University, P.O. Box 12, 23000 Annaba, Algeria.
authors.forename: R
authors.initials: R
authors.lastname: Khaldi
authors.affiliation: Department of Mathematics and Institute for Mathematical Research, Universiti Putra Malaysia (UPM), 43400 Serdang, Selangor Malaysia.
authors.forename: A
authors.initials: A
authors.lastname: Kılıçman
keywords: Banach contraction principal; Existence of solution; Fractional boundary value problem at resonance; Schaefer fixed point theorem