A different approach for conformable fractional biochemical reaction-diffusion models
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Publication:2033496
DOI10.1007/s11766-020-3830-5zbMath1474.35605OpenAlexW3118036436MaRDI QIDQ2033496
Publication date: 17 June 2021
Published in: Applied Mathematics. Series B (English Edition) (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s11766-020-3830-5
Gray-Scott modelBrusselator modelSchnakenberg modelconformable fractional derivativesresidual power series method
PDEs in connection with biology, chemistry and other natural sciences (35Q92) Kinetics in biochemical problems (pharmacokinetics, enzyme kinetics, etc.) (92C45)
Cites Work
- Unnamed Item
- Higher-order time-stepping methods for time-dependent reaction-diffusion equations arising in biology
- A novel expansion iterative method for solving linear partial differential equations of fractional order
- The effect of anti-viral drug treatment of human immunodeficiency virus type 1 (HIV-1) described by a fractional order model
- A computational modeling of two dimensional reaction-diffusion Brusselator system arising in chemical processes
- A computational modeling of the behavior of the two-dimensional reaction-diffusion Brusselator system
- Numerical solution of two-dimensional reaction-diffusion Brusselator system
- Approximate analytical solutions of Schnakenberg systems by homotopy analysis method
- On the solutions of the generalized reaction-diffusion model for bacterial colony
- Fractional differential equations. An introduction to fractional derivatives, fractional differential equations, to methods of their solution and some of their applications
- Mathematical biology. Vol. 2: Spatial models and biomedical applications.
- Analytical solutions for conformable space-time fractional partial differential equations via fractional differential transform
- Application of residual power series method to fractional coupled physical equations arising in fluids flow
- On the analytical solutions of the system of conformable time-fractional Robertson equations with 1-D diffusion
- Nonstandard finite difference schemes for a fractional-order Brusselator system
- Variational iteration method for a fractional-order Brusselator system
- The diffusion-Brusselator equation
- Fourier spectral method for higher order space fractional reaction-diffusion equations
- A new definition of fractional derivative
- A non-integer variable order mathematical model of human immunodeficiency virus and malaria coinfection with time delay
- A new approach for space-time fractional partial differential equations by residual power series method
- A new approach for the approximate analytical solution of space-time fractional differential equations by the homotopy analysis method
- An efficient, nonlinear stability analysis for detecting pattern formation in reaction diffusion systems
- Functional Fractional Calculus
- Non-constant steady-state solutions for Brusselator type systems
- Q-homotopy analysis transform method applied to fractional Kundu–Eckhaus equation and fractional massive Thirring model arising in quantum field theory
- Effect of bacterial memory dependent growth by using fractional derivatives reaction-diffusion chemotactic model
- A new analytic solution of fractional coupled Ramani equation
- Fractional physical differential equations via natural transform
- Numerical solutions of fractional Burgers' type equations with conformable derivative
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