Comparing two numerical methods for approximating a new giving up smoking model involving fractional order derivatives

DOI10.1007/s40995-017-0278-xzbMath1391.92007OpenAlexW3005390699MaRDI QIDQ724794

Gul Zaman, Shaher Momani, Anwar Zeb, Baha M. Alzalg, Vedat Suat Ertürk

Publication date: 26 July 2018

Published in: Iranian Journal of Science and Technology. Transaction A: Science (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s40995-017-0278-x

zbMATH Keywords

numerical solutiondifferential transform methodCaputo fractional derivativegeneralized Euler methodsmoking dynamics

Mathematics Subject Classification ID

Medical applications (general) (92C50) Numerical methods for initial value problems involving ordinary differential equations (65L05) Computational methods for problems pertaining to biology (92-08) Fractional ordinary differential equations (34A08)

Related Items

Analytic solution for the strongly nonlinear multi-order fractional version of a BVP occurring in chemical reactor theory, Stability and Hopf bifurcation analysis of a delayed tobacco smoking model containing snuffing class

Cites Work

• Unnamed Item
• Unnamed Item
• A numeric-analytic method for approximating a giving up smoking model containing fractional derivatives
• Solving a fractional order model of HIV infection of \(CD4^{+}\) T cells
• Qualitative behavior of giving up smoking models
• Deterministic and stochastic stability of a mathematical model of smoking
• A new analytic solution for fractional chaotic dynamical systems using the differential transform method
• Application of generalized differential transform method to multi-order fractional differential equations
• Approximate analytical solution for the fractional modified Kdv by differential transform method
• Generalized Taylor's formula
• Global existence theory and chaos control of fractional differential equations
• A novel method for nonlinear fractional partial differential equations: Combination of DTM and generalized Taylor's formula
• Fractional differential equations. An introduction to fractional derivatives, fractional differential equations, to methods of their solution and some of their applications
• Square-root dynamics of a giving up smoking model
• Solving a model for the evolution of smoking habit in Spain with homotopy analysis method
• A generalized differential transform method for linear partial differential equations of fractional order
• Numerical methods for nonlinear partial differential equations of fractional order
• Generalized differential transform method: Application to differential equations of fractional order
• Solving a system of nonlinear fractional differential equations using Adomian decomposition
• Functional Fractional Calculus