A Mathematical Theoretical Study of a Particular System of Caputo-Fabrizio Fractional Differential Equations for the Rubella Disease Model
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Date
2020
Journal Title
Journal ISSN
Volume Title
Publisher
Springer
Open Access Color
GOLD
Green Open Access
No
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No
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Impulse
Top 1%
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Top 10%
Popularity
Top 1%
Abstract
In this paper, we study the rubella disease model with the Caputo-Fabrizio fractional derivative. The mathematical solution of the liver model is presented by a three-step Adams-Bashforth scheme. The existence and uniqueness of the solution are discussed by employing fixed point theory. Finally some numerical simulations are showed to underpin the effectiveness of the used derivative.
Description
Mohammadi, Hakimeh/0000-0002-7492-9782
ORCID
Keywords
Fixed Point Theory, Homotopy Analysis Transform, Numerical Simulation, Rubella Disease Model, The Caputo-Fabrizio Derivative, Financial economics, Economics, Numerical simulation, Theory and Applications of Fractional Differential Equations, Mathematical analysis, Differential equation, Homotopy analysis transform, Health Sciences, QA1-939, FOS: Mathematics, Fixed point theory, Rubella disease model, Anomalous Diffusion Modeling and Analysis, The Caputo–Fabrizio derivative, Applied Mathematics, Public Health, Environmental and Occupational Health, Fractional calculus, Partial differential equation, Applied mathematics, Fractional Derivatives, Modeling and Simulation, Disease Transmission and Population Dynamics, Derivative (finance), Physical Sciences, Medicine, Uniqueness, Mathematics, Ordinary differential equation, Epidemiology, Caputo-Fabrizio derivative, Fractional ordinary differential equations, homotopy analysis transform, Fractional derivatives and integrals, rubella disease model, Applications of operator theory to differential and integral equations, fixed point theory, numerical simulation
Fields of Science
01 natural sciences, 0103 physical sciences
Citation
Baleanu, Dumitru; Mohammadi, Hakimeh; Rezapour, Shahram (20209. "A mathematical theoretical study of a particular system of Caputo-Fabrizio fractional differential equations for the Rubella disease model", Advances in Difference Equations, Vol. 2020, No. 1.
WoS Q
Q1
Scopus Q
OpenCitations Citation Count
66
Source
Advances in Difference Equations
Volume
2020
Issue
1
Start Page
End Page
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Citations
CrossRef : 56
Scopus : 99
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Mendeley Readers : 11
SCOPUS™ Citations
104
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Web of Science™ Citations
84
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Page Views
3
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