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Abstract
The aim of this paper is to study the dynamics of Dengue disease model using a novel piecewise derivative approach in the sense of singular and non-singular kernels. The singular kernel operator is in the sense of Caputo, whereas the non-singular kernel operator is the Atangana–Baleanu Caputo operator. The existence and uniqueness of a solution with piecewise derivative are examined for the aforementioned problem. The suggested problem’s approximate solution was found using the piecewise numerical iterative Newton polynomial approach. In terms of singular and non-singular kernels, a numerical scheme for piecewise derivatives has been established. The numerical simulation for the piecewise derivable problem under consideration is drawn using data for various fractional orders. This work makes the idea of piecewise derivatives and the dynamics of the crossover problem clearer.
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Authors (4)
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Javed Khan
-
Mati Ur Rahman
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Jan Awrejcewicz prof. dr hab. inż
Cite as
Full text
- Publication version
- Accepted or Published Version
- DOI:
- Digital Object Identifier (open in new tab) 10.1142/S0218348X22402605
- License
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Details
- Category:
- Articles
- Type:
- artykuły w czasopismach
- Published in:
-
FRACTALS-COMPLEX GEOMETRY PATTERNS AND SCALING IN NATURE AND SOCIETY
no. 30,
pages 1 - 15,
ISSN: 0218-348X - Language:
- English
- Publication year:
- 2022
- Bibliographic description:
- Khan J., Ur Rahman M., Riaz M., Awrejcewicz J.: A NUMERICAL STUDY ON THE DYNAMICS OF DENGUE DISEASE MODEL WITH FRACTIONAL PIECEWISE DERIVATIVE// FRACTALS-COMPLEX GEOMETRY PATTERNS AND SCALING IN NATURE AND SOCIETY -Vol. 30,iss. 08 (2022), s.1-15
- DOI:
- Digital Object Identifier (open in new tab) 10.1142/s0218348x22402605
- Sources of funding:
-
- Paid by other author
- Verified by:
- Gdańsk University of Technology
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