Numerical study of distributed-order Bessel fractional derivative with application to Euler-Poisson-Darboux equation
DOI10.1016/J.CNSNS.2024.107950OpenAlexW4392454881MaRDI QIDQ6131364
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Publication date: 5 April 2024
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.2024.107950
Euler-Poisson-Darboux equationRiesz fractional derivativedistributed-order derivativeBessel fractional derivative
Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Fractional partial differential equations (35R11)
Cites Work
- Unnamed Item
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- Crank-Nicolson method for the fractional diffusion equation with the Riesz fractional derivative
- Quenching for a generalization of semilinear Euler-Poisson-Darboux equations
- Distributed-order fractional wave equation on a finite domain. Stress relaxation in a rod
- Method of upper and lower solutions and interval method for semilinear Euler-Poisson-Darboux equations
- Some aspects of fractional diffusion equations of single and distributed order
- Numerical analysis for distributed-order differential equations
- A fractional integral operator corresponding to negative powers of a certain second-order differential operator
- Blow-up of solutions of semilinear Euler-Poisson-Darboux equations with nonlocal boundary conditions
- On fractional powers of the Bessel operator on semiaxis
- A fast implicit difference scheme for a new class of time distributed-order and space fractional diffusion equations with variable coefficients
- The role of fractional calculus in modeling biological phenomena: a review
- Small data solutions for the Euler-Poisson-Darboux equation with a power nonlinearity
- Time-fractional telegraph equation of distributed order in higher dimensions
- Efficient alternating direction implicit numerical approaches for multi-dimensional distributed-order fractional integro differential problems
- A Crank-Nicolson ADI Galerkin-Legendre spectral method for the two-dimensional Riesz space distributed-order advection-diffusion equation
- A numerical method for two-dimensional multi-term time-space fractional nonlinear diffusion-wave equations
- Some high-order difference schemes for the distributed-order differential equations
- Compact difference scheme for distributed-order time-fractional diffusion-wave equation on bounded domains
- Numerical solution of distributed order fractional differential equations by hybrid functions
- Finite difference/finite element methods for distributed-order time fractional diffusion equations
- Time-fractional diffusion equation for signal smoothing
- Distributed-order fractional diffusions on bounded domains
- Distributed order calculus and equations of ultraslow diffusion
- Fast and efficient finite difference method for the distributed-order diffusion equation based on the staggered grids
- Comparison principles for solutions to the fractional differential inequalities with the general fractional derivatives and their applications
- Distributed order fractional diffusion equation with fractional Laplacian in axisymmetric cylindrical configuration
- Time-fractional Diffusion of Distributed Order
- Random flights connecting porous medium and Euler–Poisson–Darboux equations
- Multi-dimensional fractional wave equation and some properties of its fundamental solution
- Time distributed-order diffusion-wave equation. II. Applications of Laplace and Fourier transformations
- Fractional Powers of a Class of Ordinary Differentilal Operators
- On the fractional Bessel operator
- A Crank--Nicolson ADI Spectral Method for a Two-Dimensional Riesz Space Fractional Nonlinear Reaction-Diffusion Equation
- DISTRIBUTED ORDER FRACTIONAL SUB-DIFFUSION
- Numerical analysis for the time distributed-order and Riesz space fractional diffusions on bounded domains
- Jacobi-type functions defined by fractional Bessel derivatives
- General fractional integrals and derivatives and their applications
- On spectral polar fractional Laplacian
- Stability analysis of difference-Legendre spectral method for two-dimensional Riesz space distributed-order diffusion-wave model
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