Analysis of Logistic Equation Pertaining To a New Fractional Derivative With Non-Singular Kernel
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Date
2017
Journal Title
Journal ISSN
Volume Title
Publisher
Sage Publications Ltd
Open Access Color
GOLD
Green Open Access
No
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Abstract
In this work, we aim to analyze the logistic equation with a new derivative of fractional order termed in Caputo-Fabrizio sense. The logistic equation describes the population growth of species. The existence of the solution is shown with the help of the fixed-point theory. A deep analysis of the existence and uniqueness of the solution is discussed. The numerical simulation is conducted with the help of the iterative technique. Some numerical simulations are also given graphically to observe the effects of the fractional order derivative on the growth of population.
Description
Kumar, Devendra/0000-0003-4249-6326
ORCID
Keywords
Logistic Equation, Nonlinear Equation, Caputo-Fabrizio Fractional Derivative, Uniqueness, Fixed-Point Theorem, Financial economics, Fractional Differential Equations, Economics, Population, Logistic function, Logistic regression, Theory and Applications of Fractional Differential Equations, Mathematical analysis, Sociology, Health Sciences, TJ1-1570, FOS: Mathematics, Mechanical engineering and machinery, Anomalous Diffusion Modeling and Analysis, Order (exchange), Demography, Time-Fractional Diffusion Equation, Applied Mathematics, Statistics, Public Health, Environmental and Occupational Health, Fractional calculus, Pure mathematics, Applied mathematics, FOS: Sociology, Fractional Derivatives, Modeling and Simulation, Disease Transmission and Population Dynamics, Derivative (finance), Physical Sciences, Kernel (algebra), Medicine, Fractional Calculus, Uniqueness, Mathematics, Finance
Fields of Science
01 natural sciences, 0103 physical sciences
Citation
Kumar, Devendra...et al. (2017). Analysis of logistic equation pertaining to a new fractional derivative with non-singular kernel, Advances in Mechanical Engineering, 9(2).
WoS Q
Q3
Scopus Q
Q2
OpenCitations Citation Count
38
Source
Advances in Mechanical Engineering
Volume
9
Issue
2
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End Page
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CrossRef : 39
Scopus : 48
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