Existence and Uniqueness of Mild Solutions to Impulsive Nonlocal Cauchy Problems
Joint Authors
Kajouni, Ahmed
Hilal, Khalid
Hannabou, Mohamed
Source
Issue
Vol. 2020, Issue 2020 (31 Dec. 2020), pp.1-9, 9 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2020-11-12
Country of Publication
Egypt
No. of Pages
9
Main Subjects
Abstract EN
In this paper, a class of nonlocal impulsive differential equation with conformable fractional derivative is studied.
By utilizing the theory of operators semigroup and fractional derivative, a new concept on a solution for our problem is introduced.
We used some fixed point theorems such as Banach contraction mapping principle, Schauder’s fixed point theorem, Schaefer’s fixed point theorem, and Krasnoselskii’s fixed point theorem, and we derive many existence and uniqueness results concerning the solution for impulsive nonlocal Cauchy problems.
Some concrete applications to partial differential equations are considered.
Some concrete applications to partial differential equations are considered.
American Psychological Association (APA)
Hannabou, Mohamed& Hilal, Khalid& Kajouni, Ahmed. 2020. Existence and Uniqueness of Mild Solutions to Impulsive Nonlocal Cauchy Problems. Journal of Mathematics،Vol. 2020, no. 2020, pp.1-9.
https://search.emarefa.net/detail/BIM-1188090
Modern Language Association (MLA)
Hannabou, Mohamed…[et al.]. Existence and Uniqueness of Mild Solutions to Impulsive Nonlocal Cauchy Problems. Journal of Mathematics No. 2020 (2020), pp.1-9.
https://search.emarefa.net/detail/BIM-1188090
American Medical Association (AMA)
Hannabou, Mohamed& Hilal, Khalid& Kajouni, Ahmed. Existence and Uniqueness of Mild Solutions to Impulsive Nonlocal Cauchy Problems. Journal of Mathematics. 2020. Vol. 2020, no. 2020, pp.1-9.
https://search.emarefa.net/detail/BIM-1188090
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1188090