Existence of Solution and Stability for the Fractional Order Novel Coronavirus (ncov-2019) Model
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Date
2020
Journal Title
Journal ISSN
Volume Title
Publisher
Springer
Open Access Color
GOLD
Green Open Access
Yes
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No
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Top 10%
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Abstract
The aim of this work is to present a new fractional order model of novel coronavirus (nCoV-2019) under Caputo-Fabrizio derivative. We make use of fixed point theory and Picard-Lindelof technique to explore the existence and uniqueness of solution for the proposed model. Moreover, we explore the generalized Hyers-Ulam stability of the model using Gronwall's inequality.
Description
Hussain, Azhar/0000-0003-4501-9269
ORCID
Keywords
Fractional Caputo-Fabrizio Derivative, Novel Coronavirus (Ncov-2019), Picard-Lindelof Technique, Novel coronavirus (nCoV-2019), Economics, Infectious disease (medical specialty), Theory and Applications of Fractional Differential Equations, Mathematical analysis, Differential equation, Health Sciences, Machine learning, QA1-939, FOS: Mathematics, Pathology, Fractional Caputo–Fabrizio derivative, Disease, Work (physics), Stability (learning theory), Fixed-point theorem, Anomalous Diffusion Modeling and Analysis, Order (exchange), Research, Applied Mathematics, Physics, Public Health, Environmental and Occupational Health, Fractional calculus, Partial differential equation, Applied mathematics, Computer science, Gronwall's inequality, Picard–Lindelöf technique, Coronavirus disease 2019 (COVID-19), Coronavirus, Fractional Derivatives, Inequality, Modeling and Simulation, Disease Transmission and Population Dynamics, Physical Sciences, Medicine, Thermodynamics, Uniqueness, Mathematics, Ordinary differential equation, Finance, fractional Caputo-Fabrizio derivative, Epidemiology, novel coronavirus (nCoV-2019), Picard-Lindelöf technique, Dynamical systems in biology
Fields of Science
01 natural sciences, 0103 physical sciences
Citation
Hussain, Azhar; Baleanu, Dumitru; Adeel, Muhammad (2020). "Existence of solution and stability for the fractional order novel coronavirus (nCoV-2019) model", Advances in Difference Equations, Vol. 2020, No. 1.
WoS Q
Q1
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OpenCitations Citation Count
30
Source
Advances in Difference Equations
Volume
2020
Issue
1
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CrossRef : 12
Scopus : 38
PubMed : 7
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Mendeley Readers : 27
SCOPUS™ Citations
39
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47
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4
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1.28151462
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3
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