On the existence and uniqueness of solutions to a nonlinear variable order time-fractional reaction-diffusion equation with delay
From MaRDI portal
Publication:2170832
DOI10.1016/j.cnsns.2022.106755zbMath1496.65143OpenAlexW4288808422WikidataQ113877778 ScholiaQ113877778MaRDI QIDQ2170832
Ahmed S. Hendy, Mahmoud A. Zaky, Karel Van Bockstal
Publication date: 6 September 2022
Published in: Communications in Nonlinear Science and Numerical Simulation (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.cnsns.2022.106755
Spectral, collocation and related methods for boundary value problems involving PDEs (65N35) Reaction-diffusion equations (35K57) Fractional derivatives and integrals (26A33) A priori estimates in context of PDEs (35B45) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Method of lines for initial value and initial-boundary value problems involving PDEs (65M20) Fractional partial differential equations (35R11) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02) PDEs on time scales (35R07)
Related Items
Existence and asymptotic behavior of square-mean \(S\)-asymptotically periodic solutions for fractional stochastic evolution equation with delay, Fast numerical scheme for the time-fractional option pricing model with asset-price-dependent variable order, Existence and uniqueness of a weak solution to fractional single-phase-lag heat equation, Analysis of a subdiffusion model with a variable-order fractional calibration term, Variable-order time-fractional diffusion equation with Mittag-Leffler kernel: regularity analysis and uniqueness of determining variable order, L1/LDG algorithm for time‐Caputo space‐Riesz fractional convection equation in two dimensions, Unnamed Item, An L1 type difference/Galerkin spectral scheme for variable-order time-fractional nonlinear diffusion-reaction equations with fixed delay
Cites Work
- Second-order approximations for variable order fractional derivatives: algorithms and applications
- Numerical techniques for the variable-order time fractional diffusion equation
- Weak solutions of fractional differential equations in non cylindrical domains
- Initial value/boundary value problems for fractional diffusion-wave equations and applications to some inverse problems
- A finite difference scheme for semilinear space-fractional diffusion equations with time delay
- Variable order differential equations with piecewise constant order-function and diffusion with changing modes
- Frequency domain methods for Volterra equations
- The variable-order fractional calculus of variations
- Boundary conditions for fractional diffusion
- Analytical solution of fractional variable order differential equations
- Variable order and distributed order fractional operators
- The unified theory of shifted convolution quadrature for fractional calculus
- Analytical and Rothe time-discretization method for a Boussinesq-type system over an uneven bottom
- Existence of a unique weak solution to a non-autonomous time-fractional diffusion equation with space-dependent variable order
- On an accurate discretization of a variable-order fractional reaction-diffusion equation
- Wellposedness and smoothing properties of history-state-based variable-order time-fractional diffusion equations
- Recovery of a space-dependent vector source in anisotropic thermoelastic systems
- A review on variable-order fractional differential equations: mathematical foundations, physical models, numerical methods and applications
- Wellposedness and regularity of the variable-order time-fractional diffusion equations
- Numerical analysis of multi-term time-fractional nonlinear subdiffusion equations with time delay: what could possibly go wrong?
- A time-fractional diffusion equation with space-time dependent hidden-memory variable order: analysis and approximation
- Spectral Methods
- On the numerical solution of a class of nonlinear parabolic problems with Volterra operators by a Rothe-Galerkin finite element method
- Constitutive Dynamic-Order Model for Nonlinear Contact Phenomena
- A Generalized Spectral Collocation Method with Tunable Accuracy for Variable-Order Fractional Differential Equations
- Numerical Methods for the Variable-Order Fractional Advection-Diffusion Equation with a Nonlinear Source Term
- Efficient Spectral-Galerkin Method I. Direct Solvers of Second- and Fourth-Order Equations Using Legendre Polynomials
- A local radial basis function collocation method to solve the variable‐order time fractional diffusion equation in a two‐dimensional irregular domain
- On the solution of a fractional diffusion integrodifferential equation with Rothe time discretization
- Integration and differentiation to a variable fractional order
- FINITE DIFFERENCE SCHEMES FOR VARIABLE-ORDER TIME FRACTIONAL DIFFUSION EQUATION
- Convergence and stability estimates in difference setting for time‐fractional parabolic equations with functional delay
- Optimal-order error estimates of finite element approximations to variable-order time-fractional diffusion equations without regularity assumptions of the true solutions
- Applications of variable-order fractional operators: a review
- A Crank--Nicolson ADI Spectral Method for a Two-Dimensional Riesz Space Fractional Nonlinear Reaction-Diffusion Equation
- Error Analysis of a Finite Difference Method on Graded Meshes for a Time-Fractional Diffusion Equation
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
