Found 868 Documents (Results 1–100)
Existence of global and explosive mild solutions of fractional reaction-diffusion system of semilinear SPDEs with fractional noise. (English) Zbl 07915145
Higher order numerical approximations for non-linear time-fractional reaction-diffusion equations exhibiting weak initial singularity. (English) Zbl 07912598
Adaptive synchronization of quaternion-valued neural networks with reaction-diffusion and fractional order. (English) Zbl 07908547
Continuous data assimilation and feedback control of fractional reaction-diffusion equations. (English) Zbl 07903732
An innovative Vieta-Fibonacci wavelet collocation method for the numerical solution of three-component Brusselator reaction diffusion system of fractional order. (English) Zbl 07901487
Nonlinear two-component system of time-fractional PDEs in \((2+1)\)-dimensions: invariant subspace method combined with variable transformation. (English) Zbl 07900547
A meshless approach based on fractional interpolation theory and improved neural network bases for solving non-smooth solution of 2D fractional reaction-diffusion equation with distributed order. (English) Zbl 07899953
Asymptotic expansion method with respect to a small parameter for fractional differential equations with Riemann-Liouville derivate. (English) Zbl 07899942
Sliding mode control for uncertain fractional-order reaction-diffusion memristor neural networks with time delays. (English) Zbl 07896392
Reviewer: Tullio Zolezzi (Genova)
A robust numerical scheme for solving Riesz-tempered fractional reaction-diffusion equations. (English) Zbl 07890846
An efficient numerical method based on Chelyshkov operation matrix for solving a type of time-space fractional reaction diffusion equation. (English) Zbl 07886668
Classical regularity and wave structures of fractional order Selkov-Schnakenberg system. (English) Zbl 07879188
Fractional order reaction diffusion of calcium regulating NFAT production in T lymphocyte. (English) Zbl 07870174
Optimal control problem with nonlinear fractional system constraint applied to image restoration. (English) Zbl 07869434
Initial-boundary value and interface problems on the real half line for the fractional advection-diffusion-type equation. (English) Zbl 07869376
Jacobi spectral method for the fractional reaction-diffusion equation arising in ecology. (English) Zbl 07861283
Fibonacci wavelet method for time fractional convection-diffusion equations. (English) Zbl 1539.65145
Branching stable processes and motion by mean curvature flow. (English) Zbl 1541.60074
Reviewer: Heinrich Hering (Rockenberg)
The dimension reduction method of two-grid Crank-Nicolson mixed finite element solution coefficient vectors for nonlinear fourth-order reaction diffusion equation with temporal fractional derivative. (English) Zbl 1534.65193
A class of fractional parabolic reaction-diffusion systems with control of total mass: theory and numerics. (English) Zbl 1536.35351
On new approximations of Caputo-Prabhakar fractional derivative and their application to reaction-diffusion problems with variable coefficients. (English) Zbl 1536.65089
Numerical simulation of the time fractional Gray-Scott model on 2D space domains using radial basis functions. (English) Zbl 1534.65209
Stability of the separable solutions for a nonlinear boundary diffusion problem. (English. French summary) Zbl 1533.35031
Invariant subspace method and exact solutions of the coupled system of time-fractional convection-reaction-diffusion equations. (English) Zbl 07803438
Boundary stabilisation of fractional reaction-diffusion systems with time-varying delays. (English) Zbl 1534.93197
Synchronization of fractional-order delayed coupled networks with reaction-diffusion terms and Neumann boundary value conditions. (English) Zbl 1532.93203
Pell-Lucas discretization method for finding the solution of Caputo-Fabrizio time-fractional diffusion equations. (English) Zbl 1531.65196
Monotonicity and one-dimensional symmetry of solutions for fractional reaction-diffusion equations and various applications of sliding methods. (English) Zbl 1530.35088
Analytical solution for time fractional reaction-diffusion-convection model. (English) Zbl 1538.35417
On the well-posedness of some model arising in the mathematical biology. arXiv:2404.04342
Preprint, arXiv:2404.04342 [math.AP] (2024).
On the solutions of the fractional generalized Gierer-Meinhardt model. (English) Zbl 07920772
Cardone, Angelamaria (ed.) et al., Fractional differential equations. Modeling, discretization, and numerical solvers. Based on the presentations at the INdAM workshop, Rome, Italy, July 12–14, 2021. Cham: Springer. Springer INdAM Ser. 50, 91-105 (2023).
Lie symmetry, exact solutions and conservation laws of some fractional partial differential equations. (English) Zbl 07920402
A reaction-diffusion fractional model for cancer virotherapy with immune response and Hattaf time-fractional derivative. (English) Zbl 07914715
Mondaini, Rubem P. (ed.), Trends in biomathematics: modeling epidemiological, neuronal, and social dynamics. Selected works from the BIOMAT consortium lectures, Rio de Janeiro, Brazil, virtual, November 7–11, 2022. Cham: Springer. 125-136 (2023).
Global dynamics of a time-fractional spatio-temporal SIR model with a generalized incidence rate. (English) Zbl 07886630
A numerical solution of fractional reaction-convection-diffusion for modeling PEM fuel cells based on a meshless approach. (English) Zbl 1537.65100
Well-posedness and regularity results for a class of fractional Langevin diffusion equations. (English) Zbl 1537.35399
Method of separation of variables and exact solution of time fractional nonlinear partial differential and differential-difference equations. (English) Zbl 1537.35396
Numerical solution of two-dimensional nonlinear Riesz space-fractional reaction-advection-diffusion equation using fast compact implicit integration factor method. (English) Zbl 1535.65258
Unconditionally convergent numerical method for the fractional activator-inhibitor system with anomalous diffusion. (English) Zbl 1535.65242
An effective analytical method for fractional Brusselator reaction-diffusion system. (English) Zbl 1536.35179
Second-order time integrators with the Fourier spectral method in application to multidimensional space-fractional FitzHugh-Nagumo model. (English) Zbl 1532.65088
\(hp\)-FEM for reaction-diffusion equations. II: Robust exponential convergence for multiple length scales in corner domains. (English) Zbl 1537.65165
Reviewer: Dana Černá (Liberec)
Global solution to the Cauchy problem of fractional drift diffusion system with power-law nonlinearity. (English) Zbl 1532.35056
The effect of fractional-order derivative for pattern formation of Brusselator reaction-diffusion model occurring in chemical reactions. (English) Zbl 1531.92127
Orthonormal discrete Legendre polynomials for nonlinear reaction-diffusion equations with ABC fractional derivative and non-local boundary conditions. (English) Zbl 1531.35356
Explicit solutions for fractional Chaffee-Infante reaction-diffusion coupled hierarchy system with conservation laws. (English) Zbl 1528.35223
Persistence of traveling waves to the time fractional Keller-Segel system with a small parameter. (English) Zbl 1538.34225
High-order schemes and their error analysis for generalized variable coefficients fractional reaction-diffusion equations. (English) Zbl 1538.65268
A semi-adaptive preservative scheme for a fractional quenching convective-diffusion problem. (English) Zbl 1538.65255
Fractional differential quadrature techniques for fractional order Cauchy reaction-diffusion equations. (English) Zbl 1530.65134
Limiting dynamics for fractional stochastic reaction-diffusion equations driven by a Wong-Zakai approximation process on \(\mathbb{R}^n\). (English) Zbl 1531.37070
Numerical analysis of polio model: a mathematical approach to epidemiological model using derivative with Mittag-Leffler kernel. (English) Zbl 07782475
Mathematical analysis and efficient finite element approximation for variable-order time-fractional reaction-diffusion equation with nonsingular kernel. (English) Zbl 1530.35348
Numerical method for solving two-dimensional of the space and space-time fractional coupled reaction-diffusion equations. (English) Zbl 1538.65415
Method of separating variables combined with approach of dynamic system for investigating exact solutions of nonlinear time-fractional models. (English) Zbl 1532.35499
Identification of the zeroth-order coefficient and fractional order in a time-fractional reaction-diffusion-wave equation. (English) Zbl 1529.35581
\(L2-1_\sigma\) finite element method for time-fractional diffusion problems with discontinuous coefficients. (English) Zbl 1527.65096
Convergence and superconvergence analysis for nonlinear delay reaction-diffusion system with nonconforming finite element. (English) Zbl 1531.65174
Conforming finite element method for the time-fractional nonlinear stochastic fourth-order reaction diffusion equation. (English) Zbl 1535.65200
Analysis and numerical simulation of cross reaction-diffusion systems with the Caputo-Fabrizio and Riesz operators. (English) Zbl 07776991
The upwind PPM scheme and analysis for solving two-sided space-fractional advection-diffusion equations in three dimension. (English) Zbl 1538.65295
Uniform large deviation principles of fractional stochastic reaction-diffusion equations on unbounded domains. (English) Zbl 1526.60026
Dynamics of a stochastic fractional nonlocal reaction-diffusion model driven by additive noise. (English) Zbl 1526.60039
Event-triggered boundary consensus control for multi-agent systems of fractional reaction-diffusion PDEs. (English) Zbl 1527.35483
Large deviations of fractional stochastic equations with non-Lipschitz drift and multiplicative noise on unbounded domains. (English) Zbl 1525.60039
Stabilization of reaction-diffusion fractional-order memristive neural networks. (English) Zbl 1525.93303
Optimal estimates on the propagation of reactions with fractional diffusion. (English) Zbl 1526.35303
\(L1\)-robust analysis of a fourth-order block-centered Finite difference method for two-dimensional variable-coefficient time-fractional reaction-diffusion equations. (English) Zbl 1538.65257
A stabilizer-free weak Galerkin finite element method with Alikhanov formula on nonuniform mesh for a linear reaction-subdiffusion problem. (English) Zbl 1538.65377
Symmetry analysis and wave solutions of the Fisher equation using conformal fractional derivatives. (English) Zbl 1541.35280
Large time behaviour of semilinear stochastic partial differential equations perturbed by a mixture of Brownian and fractional Brownian motions. (English) Zbl 1540.60143
Theoretical studies on the existence and uniqueness of solutions for a multidimensional nonlinear time and space-fractional reaction-diffusion/wave equation. (English) Zbl 1523.35279
Mixed Poisson-Gaussian noise reduction using a time-space fractional differential equations. (English) Zbl 1521.94007
On the existence and Hölder regularity of solutions to some nonlinear Cauchy-Neumann problems. (English) Zbl 1521.35065
An inverse source problem of a semilinear time-fractional reaction-diffusion equation. (English) Zbl 1525.35244
Reviewer: Abdallah Bradji (Annaba)
Finite volume element methods for two-dimensional time fractional reaction-diffusion equations on triangular grids. (English) Zbl 1517.65077
A fully discrete scheme based on cubic splines and its analysis for time-fractional reaction-diffusion equations exhibiting weak initial singularity. (English) Zbl 07715679
Synchronization of fractional-order delayed neural networks with reaction-diffusion terms: distributed delayed impulsive control. (English) Zbl 1520.35163
A class of anomalous diffusion epidemic models based on CTRW and distributed delay. (English) Zbl 1519.92280
Computational analysis for fractional characterization of coupled convection-diffusion equations arising in MHD flows. (English) Zbl 1515.33009
Existence and uniqueness of weak solutions to a truncated system for a class of time-fractional reaction-diffusion-advection systems. (English) Zbl 1518.35652
A fast two-level Strang splitting method for multi-dimensional spatial fractional Allen-Cahn equations with discrete maximum principle. (English) Zbl 1514.65159
Center manifolds for rough partial differential equations. (English) Zbl 1528.60112
Reviewer: Bixiang Wang (Socorro)
Finite time passivity analysis for Caputo fractional BAM reaction-diffusion delayed neural networks. (English) Zbl 1540.92031
Numerical approximation of the stochastic equation driven by the fractional noise. (English) Zbl 07702347
Synchronization of fractional-order reaction-diffusion neural networks via mixed boundary control. (English) Zbl 07701067
Asymptotic stability of an epidemiological fractional reaction-diffusion model. (English) Zbl 1518.35087
The global solution and blowup of a spatiotemporal EIT problem with a dynamical boundary condition. (English) Zbl 1524.35070
Analytical and numerical solutions of time-fractional advection-diffusion-reaction equation. (English) Zbl 1518.35639
Nonstationary homoclinic solutions for infinite-dimensional fractional reaction-diffusion system with two types of superlinear nonlinearity. (English) Zbl 1518.35443
A numerical method for nonlinear fractional reaction-advection-diffusion equation with piecewise fractional derivative. (English) Zbl 1518.35630
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