Analytical and numerical solutions of a nonlinear alcoholism model via variable-order fractional differential equations
From MaRDI portal
Publication:2150094
DOI10.1016/j.physa.2017.12.007OpenAlexW2772643525MaRDI QIDQ2150094
Publication date: 27 June 2022
Published in: Physica A (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.physa.2017.12.007
Laplace transformSumudu transformalcoholism modelvariable-order fractional derivativeAtangana-Baleanu fractional derivativeLiouville-Caputo fractional derivative
Related Items (46)
Dynamical study of fractional order mutualism parasitism food web module ⋮ On fractional predator and prey models with mutualistic predation including non-local and nonsingular kernels ⋮ Two step Adams Bashforth method for time fractional Tricomi equation with non-local and non-singular kernel ⋮ Implicit nonlinear fractional differential equations of variable order ⋮ The existence of solutions and generalized Lyapunov-type inequalities to boundary value problems of differential equations of variable order ⋮ On definition of solution of initial value problem for fractional differential equation of variable order ⋮ Convergence and global stability analysis of fractional delay block boundary value methods for fractional differential equations with delay ⋮ A fractional order alcoholism model via Caputo-Fabrizio derivative ⋮ Unique existence of solution to initial value problem for fractional differential equation involving with fractional derivative of variable order ⋮ On the fractional variable order thermostat model: existence theory on cones via piece-wise constant functions ⋮ Existence, uniqueness, Ulam-Hyers stability and numerical simulation of solutions for variable order fractional differential equations in fluid mechanics ⋮ Solving variable-order fractional differential algebraic equations via generalized fuzzy hyperbolic model with application in electric circuit modeling ⋮ Stability analysis for a single degree of freedom fractional oscillator ⋮ Extreme values for solution to uncertain fractional differential equation and application to American option pricing model ⋮ Boundary value problem for nonlinear fractional differential equations of variable order via Kuratowski MNC technique ⋮ Multiterm boundary value problem of Caputo fractional differential equations of variable order ⋮ A novel predictor-corrector scheme for solving variable-order fractional delay differential equations involving operators with Mittag-Leffler kernel ⋮ Dynamical behaviour of fractional-order predator-prey system of Holling-type ⋮ Analysis of fractional-order population model of diabetes and effect of remission through lifestyle intervention ⋮ Qualitative analyses of fractional integrodifferential equations with a variable order under the Mittag-Leffler power law ⋮ Fractional model for the study of the tuberculosis in Mexico ⋮ Numerical computation of optimal control problems with Atangana-Baleanu fractional derivatives ⋮ On the generalized Fourier transform ⋮ Applications of variable-order fractional operators: a review ⋮ Variable Order Mittag–Leffler Fractional Operators on Isolated Time Scales and Application to the Calculus of Variations ⋮ Modeling and Analysis of Fractional Leptospirosis Model Using Atangana–Baleanu Derivative ⋮ Existence and Uniqueness Results for a Novel Complex Chaotic Fractional Order System ⋮ On the Chaotic Pole of Attraction with Nonlocal and Nonsingular Operators in Neurobiology ⋮ Modulating Chaotic Oscillations in Autocatalytic Reaction Networks Using Atangana–Baleanu Operator ⋮ Development and Elaboration of a Compound Structure of Chaotic Attractors with Atangana–Baleanu Operator ⋮ On the Atangana–Baleanu Derivative and Its Relation to the Fading Memory Concept: The Diffusion Equation Formulation ⋮ Numerical analysis of dissipative system with noise model with the Atangana-Baleanu fractional derivative ⋮ Approximation methods for solving fractional equations ⋮ On the dynamics of fractional maps with power-law, exponential decay and Mittag-Leffler memory ⋮ Numerical technique for fractional variable-order differential equation of fourth-order with delay ⋮ A fractional Fokker–Planck equation for non-singular kernel operators ⋮ Novel numerical method for solving variable-order fractional differential equations with power, exponential and Mittag-Leffler laws ⋮ Solvability and optimal controls of impulsive Hilfer fractional delay evolution inclusions with Clarke subdifferential ⋮ A study on the solutions of a multiterm FBVP of variable order ⋮ Existence and stability of a Caputo variable-order boundary value problem ⋮ System response of an alcoholism model under the effect of immigration via non-singular kernel derivative ⋮ Existence and uniqueness results for a smoking model with determination and education in the frame of non-singular derivatives ⋮ A direct method based on the Chebyshev polynomials for a new class of nonlinear variable-order fractional 2D optimal control problems ⋮ A review on variable-order fractional differential equations: mathematical foundations, physical models, numerical methods and applications ⋮ A new iterative technique for a fractional model of nonlinear Zakharov-Kuznetsov equations via Sumudu transform ⋮ Numerical investigation of fractional model of phytoplankton–toxic phytoplankton–zooplankton system with convergence analysis
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- A new predictor-corrector method for fractional differential equations
- Complex dynamics in an alcoholism model with the impact of twitter
- On the stability and convergence of the time-fractional variable order telegraph equation
- A numeric-analytic method for approximating a giving up smoking model containing fractional derivatives
- A generic model for a single strain mosquito-transmitted disease with memory on the host and the vector
- Chua's circuit model with Atangana-Baleanu derivative with fractional order
- On the coupling of the homotopy perturbation method and Laplace transformation
- Homotopy perturbation transform method for nonlinear equations using He's polynomials
- Malliavin calculus for fractional delay equations
- An auxiliary parameter method using Adomian polynomials and Laplace transformation for nonlinear differential equations
- Analysis of a system of nonautonomous fractional differential equations involving Caputo derivatives
- Solution of delay differential equations via a homotopy perturbation method
- On the fractional Adams method
- A new fractional model for giving up smoking dynamics
- Mathematical analysis and numerical simulation of two-component system with non-integer-order derivative in high dimensions
- Modelling the potential role of media campaigns in Ebola transmission dynamics
- Analysis of an El Nino-Southern Oscillation model with a new fractional derivative
- Numerical approximation of nonlinear fractional parabolic differential equations with Caputo-Fabrizio derivative in Riemann-Liouville sense
- A reliable numerical algorithm for the fractional vibration equation
- Mathematical modelling and analysis of two-component system with Caputo fractional derivative order
- An efficient new perturbative Laplace method for space-time fractional telegraph equations
- Modelling alcoholism as a contagious disease: a mathematical model with awareness programs and time delay
- Fractional integration and differentiation of variable order
- Robust and adaptive techniques for numerical simulation of nonlinear partial differential equations of fractional order
- Solving fractional delay differential equations: a new approach
- An efficient analytical technique for fractional model of vibration equation
- Mathematical analysis and numerical simulation of patterns in fractional and classical reaction-diffusion systems
- A generalized groundwater flow equation using the concept of variable-order derivative
- A novel approach of variable order derivative Theory and Methods
- A numerical scheme for solving differential equations with space and time-fractional coordinate derivatives
- Stability of a binge drinking model with delay
- Modelling the effect of immigration on drinking behaviour
- A new dissipation model based on memory mechanism
- Campus drinking: an epidemiological model
- A nonlinear fractional model to describe the population dynamics of two interacting species
This page was built for publication: Analytical and numerical solutions of a nonlinear alcoholism model via variable-order fractional differential equations
