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Mathematical Analysis of Nonlocal Implicit Impulsive Problem under Caputo Fractional Boundary Conditions
Joint Authors
Abdeljawad (Maraaba), T.
Shah, Kamal
Jarad, Fahd
Ali, Arshad
Gupta, Vidushi
Source
Mathematical Problems in Engineering
Issue
Vol. 2020, Issue 2020 (31 Dec. 2020), pp.1-16, 16 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2020-11-30
Country of Publication
Egypt
No. of Pages
16
Main Subjects
Abstract EN
This paper is related to frame a mathematical analysis of impulsive fractional order differential equations (IFODEs) under nonlocal Caputo fractional boundary conditions (NCFBCs).
By using fixed point theorems of Schaefer and Banach, we analyze the existence and uniqueness results for the considered problem.
Furthermore, we utilize the theory of stability for presenting Hyers-Ulam, generalized Hyers-Ulam, Hyers-Ulam-Rassias, and generalized Hyers-Ulam-Rassias stability results of the proposed scheme.
Finally, some applications are offered to demonstrate the concept and results.
The whole analysis is carried out by using Caputo fractional derivatives (CFDs).
American Psychological Association (APA)
Ali, Arshad& Gupta, Vidushi& Abdeljawad (Maraaba), T.& Shah, Kamal& Jarad, Fahd. 2020. Mathematical Analysis of Nonlocal Implicit Impulsive Problem under Caputo Fractional Boundary Conditions. Mathematical Problems in Engineering،Vol. 2020, no. 2020, pp.1-16.
https://search.emarefa.net/detail/BIM-1200656
Modern Language Association (MLA)
Ali, Arshad…[et al.]. Mathematical Analysis of Nonlocal Implicit Impulsive Problem under Caputo Fractional Boundary Conditions. Mathematical Problems in Engineering No. 2020 (2020), pp.1-16.
https://search.emarefa.net/detail/BIM-1200656
American Medical Association (AMA)
Ali, Arshad& Gupta, Vidushi& Abdeljawad (Maraaba), T.& Shah, Kamal& Jarad, Fahd. Mathematical Analysis of Nonlocal Implicit Impulsive Problem under Caputo Fractional Boundary Conditions. Mathematical Problems in Engineering. 2020. Vol. 2020, no. 2020, pp.1-16.
https://search.emarefa.net/detail/BIM-1200656
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1200656