An Alternative Method for the Study of Impulsive Differential Equations of Fractional Orders in a Banach Space
This article is part of Special Issue:
Asma Bouzaroura,
Saïd Mazouzi,
Asma Bouzaroura
Laboratory of Applied Mathematics, Badji Mokhtar-Annaba University, P.O. Box 12, 23000 Annaba, Algeria univ-annaba.org
Search for more papers by this authorCorresponding Author
Saïd Mazouzi
Laboratory of Applied Mathematics, Badji Mokhtar-Annaba University, P.O. Box 12, 23000 Annaba, Algeria univ-annaba.org
Search for more papers by this authorAsma Bouzaroura,
Saïd Mazouzi,
Asma Bouzaroura
Laboratory of Applied Mathematics, Badji Mokhtar-Annaba University, P.O. Box 12, 23000 Annaba, Algeria univ-annaba.org
Search for more papers by this authorCorresponding Author
Saïd Mazouzi
Laboratory of Applied Mathematics, Badji Mokhtar-Annaba University, P.O. Box 12, 23000 Annaba, Algeria univ-annaba.org
Search for more papers by this authorAcademic Editor: Fawang Liu
Abstract
This paper is concerned with the existence, uniqueness, and stability of the solution of some impulsive fractional problem in a Banach space subjected to a nonlocal condition. Meanwhile, we give a new concept of a solution to impulsive fractional equations of multiorders. The derived results are based on Banach′s contraction theorem as well as Schaefer′s fixed point theorem.
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