An Alternative Method for the Study of Impulsive Differential Equations of Fractional Orders in a Banach Space. (12th August 2013)

• Record Type: Journal Article
• Authors: Bouzaroura, Asma; Mazouzi, Saïd
• Other Names: Liu Fawang Academic Editor.
• Is Part Of: International journal of differential equations. Volume 2013(2013)
• Publication Date: 2013-08-12
• Subjects: Differential equations -- Periodicals; Differential equations; Periodicals; 515.35
• DOI: 10.1155/2013/191060
• Languages: English
• ISSNs: 1687-9643

Abstract

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.