Stability in higher-order nonlinear fractional differential equations

  • Abdelouaheb Ardjouni Faculty of Sciences and Technology, Department of Mathematics and Informatics, Univ Souk Ahras, P.O. Box 1553, Souk Ahras, 41000
  • Hamid Boulares Depatement of Mathematics, Faculty of Sciences, University of Annaba, P.O. Box 12, Annaba, 23000; Advanced Control Laboratory (LAB-CAV), Guelma University, 24000 Guelma
  • Yamina Laskri Depatement of Mathematics, Faculty of Sciences, University of Annaba, P.O. Box 12, Annaba, 23000
Keywords: higher-order fractional differential equations, fixed point theory, stability

Abstract

We give sufficient conditions to guarantee the asymptotic stability of the zero solution to a kind of higher-order nonlinear fractional differential equations. By using Krasnoselskii's xed point theorem in a weighted Banach space, we establish new results on the asymptotic stability of the zero solution provided that f (t, 0) = 0. The results obtained here generalize the work of Ge and Kou.

Published
2018-06-10
Section
Articles