Solvability of a boundary value problem at resonance

Guezane-Lakoud A 1 , Khaldi R 1 , Kılıçman A 2

Affiliations 

  • 1 Laboratory of Advanced Materials, Faculty of Sciences, Badji Mokhtar-Annaba University, P.O. Box 12, 23000 Annaba, Algeria
  • 2 Department of Mathematics and Institute for Mathematical Research, Universiti Putra Malaysia (UPM), 43400 Serdang, Selangor Malaysia
Springerplus, 2016;5(1):1504.
PMID: 27652077 DOI: 10.1186/s40064-016-3172-7

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.

* Title and MeSH Headings from MEDLINE®/PubMed®, a database of the U.S. National Library of Medicine.

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