Distributed order hantavirus model and its nonstandard discretizations and stability analysis
Sign Up to like & getrecommendations! Published in 2024 at "Mathematical Methods in the Applied Sciences"
DOI: 10.1002/mma.10442
Abstract: It is crucial to understand the effects of deadly viruses on humans in advance. One such virus is the infectious hantavirus. Since the effects of viruses vary under different conditions, this study models the virus… read more here.
Keywords: order; hantavirus; stability analysis; distributed order ... See more keywords
A Radial Basis Function‐Hermite Finite Difference Method for the Two‐Dimensional Distributed‐Order Time‐Fractional Cable Equation
Sign Up to like & getrecommendations! Published in 2025 at "Mathematical Methods in the Applied Sciences"
DOI: 10.1002/mma.10696
Abstract: In this article, our main objective is to propose a high‐order local meshless method for numerical solution of two‐dimensional distributed‐order time‐fractional cable equation on both regular and irregular domains. First, the distribution‐order integral is approximated… read more here.
Keywords: order time; time; distributed order; time fractional ... See more keywords
A numerical scheme to solve a class of two-dimensional nonlinear time-fractional diffusion equations of distributed order
Sign Up to like & getrecommendations! Published in 2020 at "Engineering With Computers"
DOI: 10.1007/s00366-020-01185-7
Abstract: This article is devoted to obtain the numerical solution for a class of nonlinear two-dimensional distributed-order time-fractional diffusion equations. We discretize the problem by using a finite difference scheme in the time direction. Then, we solve… read more here.
Keywords: fractional diffusion; distributed order; time fractional; time ... See more keywords
High-Order Numerical Method for Solving a Space Distributed-Order Time-Fractional Diffusion Equation
Sign Up to like & getrecommendations! Published in 2021 at "Acta Mathematica Scientia"
DOI: 10.1007/s10473-021-0311-1
Abstract: This article proposes a high-order numerical method for a space distributed-order time-fractional diffusion equation. First, we use the mid-point quadrature rule to transform the space distributed-order term into multi-term fractional derivatives. Second, based on the… read more here.
Keywords: time; space distributed; order; method ... See more keywords
$$\beta $$ β -Robust Superconvergent Analysis of a Finite Element Method for the Distributed Order Time-Fractional Diffusion Equation
Sign Up to like & getrecommendations! Published in 2022 at "Journal of Scientific Computing"
DOI: 10.1007/s10915-021-01726-2
Abstract: A distributed order time fractional diffusion equation whose solution has a weak singularity near the initial time $$t = 0$$ t = 0 is considered. The numerical method of the paper uses the well-known L1… read more here.
Keywords: beta robust; time; order time; distributed order ... See more keywords
A Legendre collocation method for distributed-order fractional optimal control problems
Sign Up to like & getrecommendations! Published in 2018 at "Nonlinear Dynamics"
DOI: 10.1007/s11071-017-4038-4
Abstract: In many dynamic processes, the fractional differential operators not only appear as discrete fractional, but they also possess a continuous nature in a sense that their order is distributed over a given range. This paper… read more here.
Keywords: distributed order; order; method; order fractional ... See more keywords
Application of variable- and distributed-order fractional operators to the dynamic analysis of nonlinear oscillators
Sign Up to like & getrecommendations! Published in 2020 at "Nonlinear Dynamics"
DOI: 10.1007/s11071-020-05488-8
Abstract: Many physical processes in nature exhibit complex dynamics that result from a combination of multiscale, nonlinear, non-local, and memory effects. Recent experimental measurements conducted in a variety of physical domains have shown that, at the… read more here.
Keywords: distributed order; order; fractional operators; application variable ... See more keywords
Shifted fractional Jacobi spectral algorithm for solving distributed order time-fractional reaction–diffusion equations
Sign Up to like & getrecommendations! Published in 2019 at "Computational and Applied Mathematics"
DOI: 10.1007/s40314-019-0845-1
Abstract: This paper proposes a new method for solving distributed order time-fractional reaction–diffusion equations (DO-TFRDEs). Extended versions of the shifted Jacobi–Gauss–Lobatto and shifted fractional order Jacobi–Gauss–Radau collocation methods are developed for reducing the DO-TFRDEs to systems… read more here.
Keywords: order; time fractional; distributed order; fractional reaction ... See more keywords
Fractional Backward Differential Formulas for the Distributed-Order Differential Equation with Time Delay
Sign Up to like & getrecommendations! Published in 2018 at "Bulletin of the Iranian Mathematical Society"
DOI: 10.1007/s41980-018-0191-x
Abstract: In this paper, we investigate the fractional backward differential formulas for the distributed-order differential equation with time delay. The mid-point quadrature rule is used to approximate the distributed-order equation by a multi-term fractional form. Next… read more here.
Keywords: distributed order; backward differential; differential formulas; fractional backward ... See more keywords
Numerical approach for a class of distributed order time fractional partial differential equations
Sign Up to like & getrecommendations! Published in 2019 at "Applied Numerical Mathematics"
DOI: 10.1016/j.apnum.2018.09.019
Abstract: Abstract The numerical solution of distributed order time fractional partial differential equations based on the midpoint quadrature rule and linear B-spline interpolation is studied. The proposed discretization algorithm follows the Du Fort–Frankel method. The unconditional… read more here.
Keywords: fractional partial; partial differential; differential equations; time fractional ... See more keywords
A variably distributed-order time-fractional diffusion equation: Analysis and approximation
Sign Up to like & getrecommendations! Published in 2020 at "Computer Methods in Applied Mechanics and Engineering"
DOI: 10.1016/j.cma.2020.113118
Abstract: Abstract We prove the wellposedness and smoothing properties of the initial–boundary value problem of a variably distributed-order time-fractional diffusion partial differential equation in multiple space dimensions, which models the subdiffusive transport of solutes traveling through… read more here.
Keywords: fractional diffusion; distributed order; order; time fractional ... See more keywords