Mathematical modeling of the smoking dynamics using fractional differential equations with local and nonlocal kernel

DOI10.22436/jnsa.011.08.06zbMath1438.92034OpenAlexW2808584939WikidataQ129700669 ScholiaQ129700669MaRDI QIDQ5225438

José Francisco Gómez-Aguilar, Marco Antonio Taneco-Hernández, Victor Fabian Morales-Delgado, Victor Hugo Olivares-Peregrino, Ricardo Fabricio Escobar-Jiménez

Publication date: 22 July 2019

Published in: Journal of Nonlinear Sciences and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.22436/jnsa.011.08.06

zbMATH Keywords

Laplace transformhomotopy methodsmoking modelAtangana-Baleanu fractional derivativeLiouville-Caputo fractional derivative

Mathematics Subject Classification ID

Medical applications (general) (92C50) Fractional derivatives and integrals (26A33) Global methods, including homotopy approaches to the numerical solution of nonlinear equations (65H20) Laplace transform (44A10)

Related Items (10)

A fractional numerical study on a chronic hepatitis C virus infection model with immune response ⋮ Analysis of a basic SEIRA model with Atangana-Baleanu derivative ⋮ Investigating of an immune system-cancer mathematical model with Mittag-Leffler kernel ⋮ Mathematical analysis and optimal control of giving up the smoking model ⋮ Fractal-fractional order dynamics and numerical simulations of a Zika epidemic model with insecticide-treated nets ⋮ GLOBAL ANALYSIS OF DIFFERENT COMPARTMENTS IN A GIVING-UP SMOKING MODEL ⋮ Modeling and Analysis of Fractional Leptospirosis Model Using Atangana–Baleanu Derivative ⋮ System analysis of HIV infection model with \(CD 4^+T\) under non-singular kernel derivative ⋮ Modeling the dynamics of hepatitis E with optimal control ⋮ Some new mathematical models of the fractional-order system of human immune against IAV infection

Cites Work

• Unnamed Item
• Unnamed Item
• Qualitative behavior of a smoking model
• A numeric-analytic method for approximating a giving up smoking model containing fractional derivatives
• A new analysis for the Keller-Segel model of fractional order
• Chua's circuit model with Atangana-Baleanu derivative with fractional order
• Qualitative behavior of giving up smoking models
• On the fractional Adams method
• A new fractional model for giving up smoking dynamics
• A new analytical modelling for fractional telegraph equation via Laplace transform
• A new numerical algorithm for fractional Fitzhugh-Nagumo equation arising in transmission of nerve impulses
• Numerical approximation of nonlinear fractional parabolic differential equations with Caputo-Fabrizio derivative in Riemann-Liouville sense
• Mathematical modelling and analysis of two-component system with Caputo fractional derivative order
• A fractional epidemiological model for computer viruses pertaining to a new fractional derivative
• Detailed error analysis for a fractional Adams method
• Robust and adaptive techniques for numerical simulation of nonlinear partial differential equations of fractional order
• Analysis of regularized long-wave equation associated with a new fractional operator with Mittag-Leffler type kernel
• Curtailing smoking dynamics: a mathematical modeling approach
• New analytical method for gas dynamics equation arising in shock fronts
• A Comprehensive Survey on Fractional Fourier Transform
• Model of Thin Viscous Fluid Sheet Flow within the Scope of Fractional Calculus: Fractional Derivative with and No Singular Kernel
• Mathematical analysis and numerical simulation of chaotic noninteger order differential systems with Riemann‐Liouville derivative
• Mathematical model for smoking: Effect of determination and education
• An adaptation of homotopy analysis method for reliable treatment of strongly nonlinear problems: construction of homotopy polynomials

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