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Analysis of rubella disease model with non-local and non-singular fractional derivatives.
- Source :
-
International Journal of Optimization & Control: Theories & Applications . 2018, Vol. 8 Issue 1, p17-25. 9p. - Publication Year :
- 2018
-
Abstract
- In this paper we investigate a possible applicability of the newly established fractional differentiation in the field of epidemiology. To do this we extend the model describing the Rubella spread by changing the derivative with the time fractional derivative for the inclusion of memory. Detailed analysis of existence and uniqueness of exact solution is presented using the Banach fixed point theorem. Finally some numerical simulations are showed to underpin the effectiveness of the used derivative. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 21460957
- Volume :
- 8
- Issue :
- 1
- Database :
- Academic Search Index
- Journal :
- International Journal of Optimization & Control: Theories & Applications
- Publication Type :
- Academic Journal
- Accession number :
- 129805345
- Full Text :
- https://doi.org/10.11121/ijocta.01.2018.00532