An Alternative Method for the Study of Impulsive Differential Equations of Fractional Orders in a Banach Space | Zendy

Asma Bouzaroura | Zendy; Saïd Mazouzi | Zendy

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An Alternative Method for the Study of Impulsive Differential Equations of Fractional Orders in a Banach Space

Author(s) -

Asma Bouzaroura,

Saïd Mazouzi

Publication year - 2013

Publication title -

international journal of differential equations

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.324

H-Index - 20

eISSN - 1687-9651

pISSN - 1687-9643

DOI - 10.1155/2013/191060

Subject(s) - mathematics , banach space , fixed point theorem , uniqueness , picard–lindelöf theorem , contraction principle , c0 semigroup , banach fixed point theorem , mathematical analysis , eberlein–šmulian theorem , contraction mapping , fractional calculus , differential equation , pure mathematics , lp space

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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