Local existence and uniqueness for a fractional SIRS model with Mittag-Leffler law
Joint Authors
Ammi, Mawlay Rashid Sidi
Tahiri, Mustafa
Torres, Delfim F. M.
Source
General Letters in Mathematics
Issue
Vol. 10, Issue 2 (30 Jun. 2021), pp.61-71, 11 p.
Publisher
Refaad Center for Studies and Research
Publication Date
2021-06-30
Country of Publication
Jordan
No. of Pages
11
Main Subjects
Abstract EN
In this paper, we study an epidemic model with Atangana-Baleanu-Caputo fractional derivative.
We obtain a special solution using an iterative scheme via Laplace transformation.
Uniqueness and existence of a solution using the Banach fixed point theorem are studied.
A detailed analysis of the stability of the special solution is presented.
Finally, our generalized model in the derivative sense is solved numerically by the Adams-Bashforth-Moulton method.
American Psychological Association (APA)
Ammi, Mawlay Rashid Sidi& Tahiri, Mustafa& Torres, Delfim F. M.. 2021. Local existence and uniqueness for a fractional SIRS model with Mittag-Leffler law. General Letters in Mathematics،Vol. 10, no. 2, pp.61-71.
https://search.emarefa.net/detail/BIM-1437696
Modern Language Association (MLA)
Ammi, Mawlay Rashid Sidi…[et al.]. Local existence and uniqueness for a fractional SIRS model with Mittag-Leffler law. General Letters in Mathematics Vol. 10, no. 2 (2021), pp.61-71.
https://search.emarefa.net/detail/BIM-1437696
American Medical Association (AMA)
Ammi, Mawlay Rashid Sidi& Tahiri, Mustafa& Torres, Delfim F. M.. Local existence and uniqueness for a fractional SIRS model with Mittag-Leffler law. General Letters in Mathematics. 2021. Vol. 10, no. 2, pp.61-71.
https://search.emarefa.net/detail/BIM-1437696
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references : p. 70-71
Record ID
BIM-1437696
